I'm in my 20s, so I'll give you my take personally. While I like a lot of music from the earlier part of the classic rock years (I mostly listen to pre-1980 tunes, though I do listen to select newer genres/artists), I'm not really a big fan of classic rock itself these days.
There's the attitude and snobbery for one that's a turn-off. It's really not (for the most part) a particularly complex form of music in spite of what the rock critics and hardcore rock fans seem to think and pontificate on. I'll take the Association over Black Sabbath any day of the week. Those harmonies, man...
Shredding tends to bore me, especially over the same couple chords in one key. If I want shredding, I'll listen to jazz where there's key changes and tempo changes.
The anger and angst? I'm over that as I've left my teenage years behind me. I'd rather listen to music I find joy in!
I did enjoy classic rock growing up. I was in a few rock bands playing keyboards and it was fun. I was in the Rock School program and we did all the standards for groups like that. Classic rock was played around the house as a kid, & there was a lot of it in my parents cassette collection that I inherited.
But I found myself drawn to the three-part harmonies of Peter Paul & Mary. The rawness of Gordon Lightfoot. The guitar virtuoso of Glen Campbell and Roy Clark. The jazz renditions of then-current pop tunes from Ramsey Lewis & Wes Montgomery. The meticulously layered harmonies of the Carpenters (and Les Paul & Mary Ford, for that matter). The smooth crooning of Nat "King" Cole (along with his piano prowess with the King Cole Trio). The stellar guitar tone of Buck Owens along with the great steel guitar work on his records. The Bossa-nova rhythms of Sergio Mendes, or the flugelhorn finesse of Chuck Mangione. The soulful funk of the Meters. The great Hammond B3 sound of Booker T. Jones in Booker T & the MGs. Or Lionel Hampton's tickling of the vibes...
Country rock? Oh yeah, The Dillard's Wheatstraw Suite spends a lot of time on my turntable. I listen to a good bit of country rock.
Early rock & roll? Check that box, too. The rawness of Chuck Berry, the strings on Buddy Holly's "It Doesn't Matter Anymore"...
But the stuff that would qualify for "classic rock"? I still dig Led Zep's debut album, Boston's debut album (aside from "More Than a Feeling," which I've just heard too many times). And the Doors? Their albums still spend time on my turntable (I was way into the Doors back in high school). But overall, it's just pretty tired music that I think has dominated for far too long. It was not the best the era had to offer and it saddens me that 95% of the music from the 60s/70s still on the radio is classic rock at this point. I listen to it once in a while but not primarily by a long shot.
I think some of the "classic rock" cannon is still popular among my generation but not in the way it was for previous generations. There's a big, beautiful musical world out there that's not one of the 500 or 1000 songs the classic rock station plays and the rock folks are still yackin' about 50 years on.
I do still enjoy it once in a while but as someone upthread said, part of a far, far larger diet. It's but a drop in my musical ocean.
That's my experience. I realize everyone here will have a different experience and I'm not trying to say "classic rock sucks" so please don't take my post that way.