It's not autism as such, but it is a pretty common experience among autistic people because of sensory issues which are a part of the diagnostic criteria. Avoidant-Restrictive Food Intake Disorder (ARFID) is also quite common among autistic people.

So the meme tracks in that autism brain can absolutely result in always ordering the same food.

I don't think it was meant to exclude allistic/non-autistic people who exhibit similar behaviours, nor was it meant to be representative of all autistic people.