(The sites themselves use “TG/CD” all the time because they have members who identify as either, both, or questioning. There is no “crossdressers and transgender are not the same” mantra, at least not anymore.)
“As a man, I can do and feel x, and as a woman, I can do and feel y.”
They have to embody the “correct” sex for specific activities and emotions.
It all depends on what they were taught is normal and admirable for men to feel, & what is only okay for women.
These are NOT people we should be authorizing to define womanhood.