I think that better color saturation in leaded glass is not a rule. It is rather a combination of several factors, including the design based on such glass. In HG - for example, this is helped by the silver coating on the prism mirror, or the specific characteristics of the transmission graph with a maximum in the red spectrum, as Leica UV binoculars did before HD Plus. Leica binoculars of course have dielectric coatings. I have a few binoculars from the period when silver coatings were more common and you can see a slight warming of the image in such a design. Personally, I do not like modern dielectrics, which are extremely bright and neutral, but lose this pleasure of viewing, especially on very bright sunny days.
Returning to Nikon, of course, MHG will be a better design for everyday use, especially for bird lovers, but for an optics collector, things may look a bit different. Holding the HG in your hand, you feel this "weight" - the quality of the construction, in contrast to the MHG - a bit "toy-like", although the MHG is made of the highest quality materials, and the design is extremely successful, it does not give such a "high" as the HG.
Finally on the subject of leaded glass, a lot of old optics from the 70s, 80s and 90s have leaded glass built in, and yet they are not impressive in terms of image coloring. As I wrote earlier, this is a conglomeration of several parameters in one housing, which can result in the effect of "tweaking" colors.
I will also add that from a technological - scientific perspective, I cannot explain the phenomenon of color saturation in optical glass with the addition of lead. Maybe someone on this forum will come along and be able to delve deeper into the issue, I would be happy to listen.