So I'll put this question out to anyone who cares to answer it. Have you ever been under the impression that Elvis, Chuck, Buddy, Little Richard and Jerry Lee Lewis were the big five of fifties rock 'n' roll? Or did you at least recognize that attitude among the general public? And if so, what are your theories on why that's so?
Yes, I remember that there was a time when I thought that those were the big 5 of '50s rock. The explanations that you and Sampson have given pretty well explain the reasons for that. I'd add that some sources pretty much ignore everything pre-1955 - I didn't even learn about Elvis' Sun Sessions until later - so it cuts into Domino's legacy if you ignore his early work, though even from '55 on, he has a more important body of work than JLL.
I agree that more recent rock artists have tended to not be that big on Fats, although Van Morrison is a Domino fan.
If you're looking for an Everly Brothers compilation, the challenge is that they moved from Cadence to Warner Brothers in the middle or slightly after the middle of their peak years, and most of the compilations are for one of the 2 labels, and what I think would be ideal (taking economy into account) would be a well-filled single disc covering both labels. What I have is the vinyl 2 disc 24 Original Classics
on Artista, which would be a good choice if it were on CD, but I don't think it is. Time-Life's The Rock 'n' Roll Era: The Everly Brothers - 1957-1962
is a well-chosen 22 song set, but it's from the '80s, so there may be later compilations with better sound quality.