Huh, I suppose that's a slight advantage as it means your wedged generals are less likely to be engaged in your turn after a recoil during the enemy's turn.
Not necessarily: pursuing elements can always pursue up to a base width. As this is the same as the wedge's recoil distance, pursuing opponents will always be able to maintain contact if you
recoil. However, other combat results are possible too, depending on what the Kn are fighting.
There are other advantages to wedges, though. One is that with deeper bases, you have a slightly greater ability to inflict overlaps on opposing elements compared with non-wedge Kn. Another advantage of wedges is that they don't suffer from overlaps against them (unless they're Kn (F) wedges overlapped by LH); they do however take the -1 if the enemy's front edge contacts their flank. The disadvantage is that they lose the Kn's Quick Kill against Cv.
I assume that the extra base depth is only there as a concession to the extra space that staggering your models takes up, if so it's interesting how the physical aspect of the miniatures themselves has repercussions for the actual gameplay.
It could be. I don't remember whether Barker spelled it out. Certainly from an aesthetic point it looks better, in my opinion.
Just one of those things I suppose.
It is annoying in that some Hellenistic armies have Kn (F) not in wedge, which obviously use the shallower base depth, meaning that unless you use a larger stick-on base of some sort, you can't use the one set of figures to portray both types of Kn (F).