I remember that in the beginning self-identifying felt very relevant, even though nothing had really changed in my behavior, but it was a HUGE change for my self concept. The people/demographic I am around daily, wrestlers/grapplers (I do submission grappling professionally), sex/intimate relationships comes up almost daily.
I went from really self-conscious and worried that something was wrong with me, to really self-conscious AND OMG THERE ACTUALLY IS SOMETHING DIFFERENT ABOUT ME AND NOW I CAN'T HELP BUT THINK ABOUT IT WHEREVER SOMETHING EVEN REMOTELY SEXUAL COMES UP, WHICH SEEMS TO BE HAPPENING LIKE, WAY MORE THAN I REMEMBER!
I never felt what I'd call 'elitist', but that's possibly because I didn't tell a soul about it for about 4 months. I definitely people who give themselves time to become very confident/secure with that part of themselves before openly-identifying with a label, but while I'd dispelled initial doubts of possibly overthinking my identity, having all of this going on in my brain without anyone to talk to for 4 months, especially in the particular social environment I was in, it took a heavy toll on me mentally.
It wasn't until I was a tad sleep deprived, which compromised my normal 'filter', and I just so happened to slip up with the one friend I had who knew about asexuality (He took a sexuality class cause he said he thought it was an easy 'A'). I said "look I just don't see it the same way you guys do" when some instagram photos came up. Yeah... I was that tired. I'm so glad I slipped up, or else who knows how much longer I'd have kept my ruminating thought to myself.
Went off on a bit of a tangent there. I could definitely see the temptation for many to feel this way, especially in a permitting environment. For the longest time it was something that I knew, but was terrified/scared of the reaction I'd get if I confided in someone, but I had have some self-esteem issues already, so that likely played a bigger role than my environment. Of the 3 friend I have told (huge progress!) they have all asked (with genuine curiosity and a hint of jealously) what I do with all of the extra 'time-saved' not thinking about sex. Of course I didn't really have an answer except, "what I've always done with my time, I guess?" I see how someone who is beginning to identify with the label discern this type of quality as something positive about their label. They'd be seeking for ways to validate their changing identity, this is universal for other major parts of identity as well not just sexuality.
TL;DR It's possible, but it's probably not about being elitist, rather this would be a time where a major part of self-concept/identity is shifting and need ways to validate the new changes in our identity.