castrati do not lose hair from androgens1) Cyproterone is a progestin. And you don't *need* progesterone per say. CAIS women grow bigger breasts than cis women and yet they have male levels of progesterone. E seems sufficient for most
2) You won't ever beat your genetics, even if you bathed in E. Hairloss will catch up to you at some point.
3) The fact we are balding in the first place, means we don't have good genetics. So yeah, have fun stressing why your hair continues dying when your E levels are higher than women