I don't think I've seen anyone who wants to abolish gender labels entirely. The usual spiel goes "Abolish gender roles, respect gender identity" which is cool. It's like... you want to be housewife-ey, you do that, but whether you want to or not it shouldn't be an assumption/pressure/enforcement that that's what you'd be. Also that you shouldn't be pressured *away* from housewife-ey stuff just because your gender or presentation doesn't match the stereotype. Then echo that across all the other gender role restrictions like dolls vs action figures, doctor vs nurse, etc. It's a call to value people as individuals and as people, without requiring them to first abide by some kind of cultural cheat sheet for your benefit.
And, hm. I suppose you might be referring to requests to not gender people automatically, especially defaulting to male for every online stranger? That doesn't abolish much, since the point is to not step on the toes of the labels people *actually* use...
Yeah, though. enforcing a universal agender presentation on everyone would be a big dumbdumb move from someone who (probably?) hasn't done much reading on the subject and doesn't know what they're talking about. People who don't have a gender are perfectly valid and all, but lots of people do have a gender and they'd be very displeased with that situation. I don't think it's a common enough viewpoint to worry about, though.
Gosh I hope this argument is in good faith.