I like ASAP and I am not cool nor have I ever strived to be so.
Many can vouch for that.
I think one listen to Fuckin' Problem or Hands On the Wheel disproves any theory that ASAP can't rap.
You don't have to defend yourself, we get it, haha. Also people don't have to "try" to do anything. It just comes across that way from what I've witnessed. Anyway, listen on. I do sometimes. He has some fun songs, but that's all they are to me, fun.
When I want to refer to a rapper with rhyming ability and knowledge, I'll go to Wu Tang or something like that. And if that sounds pretentious because they're old school, I'd go to Joey Badass even. Kid's got skills.