I do agree that it doesn’t necessarily come naturally to autists, but it seems to work fine for all the autist-led autism advocacy groups. Lots of autists have substantial skill in social masking, anyway - doing it around the clock is damaging to them, but it’s not like non-autistic leaders are always their fully authentic self in public, either. A good advocacy group enables, where possible, the participation of people who are directly involved.

As a prominent example for leaders of activist groups with autism, consider Greta Thunberg.