It is often more acceptable for a woman to present in culturally “masculine” ways, so individuals may feel that they don’t need to do anything beyond that for their personal path. It is unusual for men to be accepted for presenting in culturally “feminine” ways, and thus trans women may need to do more than some trans men do, including actually declaring themselves trans rather than quietly passing (which is why is possible it’s purely a reporting issue).

Very good point. A HUGE underlying current of transphobia is misogyny. Historically women are the scapegoat class. The idea that a lowly woman would want to be a man only seems natural in this scenario. Little girls are encouraged to do “boy things” while little boys are often discouraged, disciplined or even outright abused for doing “girl things”. There’s a strict enforcement of male centric norms being superior so women do have more “freedom” to explore that realm as where men are ostracized at the slightest indication of femininity because it’s inherently “below” his assigned station - that’s why transphobes need to obsess over genitals, it’s critical for them to enforce this sharp misogynistic divide, man good, woman bad there for woman aspiring to masculinity good, man aspiring to femininity bad and disgusting. Strict enforcement of gender roles is both misogynistic and transphobic.