You say that but on a simple level of logic they are the same.
Non invasive you say? Surgically removing an appendage rendering you means of reproduction useless seems pretty invasive to me. Irreversible 'treatment'. People who reject the concept of gender simply to identify as the other gender are philosophically the same to someone who rejects the gift of sight simply to identify as blind. A man will never have a uterus but now they also don't have a penis. A woman will never be able to impregnate a woman but now has some weird thing they're calling a dick.
Logically speaking. If the woman who blinded herself is as happy as the guy who cut off his own dick then more power to them, right???