It's not clear to me that women's bodily autonomy is starkly disadvantaged in US law vs men's.

The law protects female infants from circumcision in a way that it doesn't protect male infants.

The law requires men to register for the draft.

Men who have been circumcised and/or drafted surely outnumber women who have been denied an abortion in modern America.

The comparative scope and impact of those insults to bodily autonomy is debatable, but I don't think it's so black-and-white that someone might reasonably prefer the overall status of women in the eyes of US law.

(Just to be clear, I think everyone's bodily autonomy should be protected.)