Probably the reason that EVH doesn't do G3 is that he's a) not really a soloist and b) he's just on this different level, commerically, to JS and SV. I doubt he'd ever be asked to do it. Like, they just come outta different worlds of music, where people like Yngwie M, Steve M, Eric J etc, are on a more similar level to them. Everyone knows who EVH is (unless they're my age and ignorant) and I think that with G3, JS has always kind of been the headliner, even on shows with Steve. I seriously doubt EVH would wanna go on tour with a couple of solo artists who half the music-listening population haven't heard of.
Not that I don't think it'd be awesome. It would.
Also, holy crap, I actually had it in my head that Sammy Hagar was NICE. Won't make THAT mistake again! Wow!
Sorry no offence but I dont agree with your post I feel eddie plays solos just as well as any of the players you mention in your post,.. if you watch the old 5150 dvd he sits with no back up from the band and just plays all sorts of crazy stuff ,...I beleive ed could play a set with G3 no probs ,...also I feel ed can hold his own with any body and if he ever did play with " G 3 " lots of fans would want to see it .
and just for the record both joe and steve use finger tapping ,..Ed is the finger tapping Master I havnt seen any body finger tap,.. slap in the melodic sence that Ed can
just my thoughts ,....