Autonomy, as a political term, generally refers to a state being autonomous in reference to some larger state of which it is a part. I could see self-autonomy being used as a term of art in psychiatry where the self- is added to differentiate it from political autonomy. I would say that objections to the term self-autonomy would then just be overly literal objections to what really amounts to precision in language, not an uncommon trait in the field of peevology.