Personally, I like every Nikon binocular I have regardless of idiosyncrasies of each. Every Nikon binocular I have has literally a perfect focus adjustment. That's 2 EDG IIs, an EDG, a Premier, a M7, and a MHG. Some of the acclaimed binocular review sites hold the EDGs in very high regard. Optically I'm pretty sure my EDG II 8X42 is the best I have or have had. Overall in most every condition not much will whip it. The 10X42 is said to be even better.
I agree about the objective covers. I just took them off and put them back in the box. Some of their cases are 30 year old designs. But mechanically and optically they are pretty dang good.
I'm with Chuck regarding the EDG, an excellent pair of binoculars.
There's often talk of them appearing dim by comparison but I don't think so. They have excellent colour and contrast perhaps it's other factors rather than being notably more dim? On that note they sit on or below 90% transmission which isn't particularly high or low but with our perception of brightness being logarithmic a few % here or there shouldn't make a notable difference?
Whatever the case I'm guessing that an individual's perception and the balance of colour and contrast levels are more of a contributing factor.
My EDG are 8x32's and I particularly enjoy their view (and handling) and would place them in the number one spot of my collection.
My first pair had the dreaded wandering diopter which Nikon could not replicate in tests apparently (I'm sure Nikon in Australia has a team of poorly trained monkey's in their binocular department and that's assuming they even have a binocular department) but none the less they sent me a replacement pair with a perfectly functioning diopter.
Regardless of customer service or warranty and so on, I think the EDG easily competes with or bests the competition. It would have been nice if they persisted with advancing on the EDG but it seems the MHG holds their current top spot.