I thought I'd ask for explanations from former workmates at Mamiya and Nikon before I went further with this but while their answers concerning "scratches" put on the glass surfaces by grinding/polishing and the way the skin of a glass surface always has some form of cracking/fissuring due to any type of production methodology heating, there is a general middle ground to their explanations.
There are really only 2 types of glass blanks used in production lenses (and I stress the word production, and not a theoretical lens where a single unit is ground and polished over a period of a year always using optimum conditions and methods, because no production binocular in the world is EVER made that way). One type of blank is cast and since glass is somewhat rope-y this type of glass is a bit more distorted internally, after grinding and polishing. The second type of lens blank is made for use in more expensive lens systems and these blanks are cut from long billets of glass (like round rods). These are less internally distorted but require more grinding to achieve the correct figure. It is even hard to generalize about any lens system because the rear lenses where "comes out of the system" will have a much greater impact on the distortion, diffraction and dispersion of the light entering the "front" lens in the system.
The primary causes of distortions are a lens with a bad figure or internal distortions caused by the rope-y nature of glass itself. But coatings generally do not address distortions. While dispersion can be caused by surface scratches created during grinding and polishing a lens surface, a large amount of dispersion can also be caused by impurities in the glass itself (like dust equivalents, or chemical reactions (like oxidation) that create powder-like substances in the glass, incompletely dissolved doping agents, bubbles, etc., some dispersion can be created by the tiny fissuring that occurs on the surface of glass when it is either cooling from its melted state or when heat is trapped inside glass and stresses the surface during grinding. Even though dispersion is a problem, there is probably not much that can be done about internal dispersion-created problems, but coatings can "fill in" some of the surface fissures on a glass surface that may still be there after grinding/polishing. Unfortunately not all surface fissures can be eliminated in production lens grinding/polishing.
Grinding/polishing can cause glass to be stressed and so any surface weaknesses that are already present in the glass cause the surfaces to make more and new fissures to go with the fissures that occurred when glass was originally "poured". Lenses get hot during grinding no matter what is done to keep a lens cool. But if that was the only problem, then lenses would be allot better than they are today even with multiple coatings. The grinding/polishing process itself is nothing more than using abrasives harder than glass, to scratch away the part of the glass you don't want, to create the lens figure you Do want.
Green light is about 500 nanometers in size/length. Grit that makes a surface scratch of approx. 500 nanometers is in the range of 12,000-9,000 grit size (the bigger the grit size number the smaller the grit). There seems to be no consumer optics product companies that use grits this small in production today to create a surface that even then, would be only 80-90% perfectly reflective (since not all of the reflected light would retain its coherence at that point). But since I haven't talked talked to any of the production managers in German or Austrian homeland factories, making the highest of their high end binoculars, maybe there are German factories using 20,000 grit polishing compounds that only make 250 nanometer width scratches in the surface of glass while they do a final polish. This still means that the glass surface would have non-perpendicular surfaces presented to a light beam over 50% of their surface.
Since there are micro-grit sizes that are even smaller than 40 nanometers diameter (made in very small batches), why aren't these types of grit being used on production of high end binoculars and not just on laser windows and telescopes like Hubble etc. The reason is simple; you can't get any production done with them. Glass may not be the world's hardest substance, but it isn't the softest either. It would make a binocular unbelievably expensive if the grinding/polishing process took 10 years from start to finish to produce each pair of bins. Polishing abrasives are still cutting glass off a lens, even though they are cutting the glass off in extremely fine proportions and very, Very, ... VERY slowly. All polishing compounds for production lenses leave micro-scratches in the glass surface, although if you took a year per surface and kept the lenses optimally cooled during grinding/polishing and kept ALL micro-contaminants out of the grinding/polishing clean rooms, you might get the "scratch" sizes down to about 40-100 nanometers in width but no one could afford that lens set.
So the solution preferred by production facilities making binoculars is to fill in the scratches and fissures with multiple layers of coating materials. Even a single coating may leave some surface irregularities somewhat like one coat of paint on wood. The wood will be somewhat smoother and have less of a matte surface (due to sanding scratches), but a second coat of paint will be a bit smoother and so on until the pigment particle size and the binder material determine final glossiness (finer and finer sanding between paint layers can help this along). Thus it is that lens makers find it easier to fill in grinding/polishing and production fissuring surface scratches and cracks using coatings.
Of all the coatings in the current market, some being hard, others filling in cracks better, others used to balance the colors being rejected by the coatings etc., Zirconium Oxide is optically the best. The problem I found was that it wasn't the hardest type of coating and other coatings didn't always deposit to it the best. And since none of us consumers want our coatings to develop fine cleaning scratches on the lens surface, and we certainly don't want our coatings to flake off unevenly, zirconium oxide is one of the "bete noir" coatings. It is very expensive and doesn't always "play nice with others". But it is one of the rarest coating components because it is "water-white", which means it rejects no visible band colors or to put that another way, it rejects all visible band colors equally. About the only coating that is better is electro-deposited diamond. So while the hardness factor favors diamond coatings, there is really no optical difference between zirconium oxide and diamond coatings.
What I tried to explain previously was why coatings are a more common and actually cheaper solution to surface diffraction problems in lenses, than trying to polish a lens to perfection, because there is absolutely no way to achieve polishing perfection. All polishing compounds are really just scratching the surface of glass lenses. Making any real production precludes going past using 12,000-6,000 size grit for anything but the most experimental or cost-is-no-object-government lens-making. That is why coatings are the real way to cover-up surface scratches now-a-days. Many German lenses made before the 1940s were polished to a greater degree than lenses today. That was the pre-Coatings era and so the surface of a glass lens showed more of the polishing "scratches' made by the polishing grit. To get a truly great lens you needed months of slow polishing with the finest, relatively soft grits.
One more factor needs to be considered here. The surface "scratches" caused by polishing compounds become less of a factor as the lenses get larger. So a lens 1 meter in diameter will exhibit less apparent diffraction and distortion (caused by surface scratches) than a .5 meter lens will appear to exhibit and so on and so on. But of course binocular lenses are tiny by comparison with the Yerkes Telescope 1 meter lens and so the same polishing scratches on a 35mm or 50mm diameter lens may seem truly objectionable, on small binoculars compared to being nearly invisible when using a 1000mm lens. Add to that the fact that binoculars have multiple prisms and it is amazing we see anything through those tiny optical devices at all. But I have always wondered why the coating material that seems to produce the best optical results, is used so rarely. I guess cost and difficulty in use, are the two reasons why.