As to your first point, my issue is trying to get people to stop using the word transgender as a noun (which I illustrated in my examples). I could have gotten into a lot more complexity with this piece, but I decided to keep it simple.
As for your other point, crossdressing and gender non-conformity is not the same as being transgender. They are a form of gender expression. Yes, there is overlap between being transgender and being a crossdresser, especially in the realm of gender expression.
However, being transgender is a lot more complex than a woman wearing a suit or a man wearing a wig. As a transgender man, I am no more or less transgender if I choose to wear a dress one day or slacks the next. I can express myself in either masculine or feminine ways, but that doesn’t change the fact I identify as male.
I understand that it’s a concept that’s difficult to wrap a brain around. I get that. But please understand that crossdressing isn’t what makes a person transgender.