The second bulleted item suggests that one cannot be anatomically male and psychologically female. Some butch lesbians even wear a concealed prosthesis of the male appendage. It's called packing. And in a community that supposedly fears the male appendage, it's acceptable. So there appears to be a selective comprehension of the fact that sex and gender are not always the same.
Some lesbians even assert that they are neither male, nor female.
A lesbian might say that her gender is butch, or that she is male but not a man. Within the lesbian community, gender is afforded a wide variety of flexibility. It is only when someone is perceived as being outside the lesbian community that views on gender become so limited. The fact of the matter is that sex and gender are not the always the same. A man can be more feminine than masculine, just as a woman can be more masculine than feminine.