That's because it goes further than that with Neil. I think lots of us have noticed that Neil is often widely touted as the "Greatest Drummer Ever." Moreover, he seems to be investing in that hype himself. I've seen a lot in this discussion saying Neil is humble and all about the music, but I've noticed otherwise. Just watch "Taking Center Stage" (his biographical documentary), or any instructional or promotional stuff you can find floating around the internet, and tell me he's really that humble. He comes off as pretentious and conceited to me.
Charlie Watts, Joey Kramer, and Ringo are, respectively, the drummers for the Rolling Stones, Aerosmith, and the Beatles. That's what they are known for, and in terms of well-known artistic output, that's all they'll ever be. And that's great, because they've fit their roles very naturally. Each one was there to help his band feel comfortable playing groundbreaking music over his steady pulse.
Peart doesn't do that at all. He has a massive, custom made, intricately painted, hybrid-electronic, bazillion-piece drum set, on which he plays solos that were written by hand months prior to the show and rehearsed, like some kind of recital piece. If you watch "Taking Center Stage," he'll lecture you for hours on how to play certain songs. Then, he'll gush about how meeting Freddie Gruber made him a great jazz player, and how he likes to hold his sticks with traditional grip for "the jazz section" of his 10-minute solos (this is all true). And just by being quiet and awkward, this guy has convinced most of the world that he's a meek little professor.
When you listen to Rush or watch live recordings, you'll notice that though Neil, Lifeson and Lee play amazingly together, there isn't a deep sense of camaraderie or connection between the three. This is understandable, given the fact that the band's entire purpose when playing live is to be as robotically precise as possible. They merely run note-for-note through the songs they wrote together, long before the show, through long, deep, drawn-out thought. There is no human element because they do nothing in the moment. Therefore, each member of the band is ultimately concerned about their part--NOT what they're a part OF. Like I said, that seems to take away from what Prog is all about, and is, of course, ABSOLUTELY UNACCEPTABLE when applied to Jazz-- part of the reason Neil can't swing.
I like listening to Rush, and I like listening to Peart's drumming on their songs. It all sounds good. What I object to is much of the IDEA of Peart, the application of his talent, and his attitude. Before you insist that I'm "slamming" him, a reminder that he has great recorded work out there, and is clearly a talented rock drummer. But the greatest ever? Not close.