More or less my thoughts exactly.
In my experience, with few exceptions, "coming out" about any condition on the spectrum can basically change how a neurotypical views you in a matter of seconds. My perception is that when the overwhelming majority of the neurotypical public hears the word "autistic", they automatically think of someone like Chris-Chan. Your "mask" gets an instant scarlet letter. But if they hear Asperger's syndrome, you have a slightly better chance of salvaging your credibility to them... if you're lucky, their mental image might even be of Temple Grandin.
Look, I'm not a fan of pathologizing the autistic experience to begin with, but I've always been more comfortable identifying as an Aspie, in spite of the fact that designation officially "doesn't exist" anymore... it's what I was diagnosed with back in 5th grade after all.
I think this distinction is important not just from an optics point-of-view, but also because it means access to appropriate services. I want life skills training and for my SSDI status to remain intact, not to be confined in some kindergarten-type group home for the rest of my days.