You seem to be talking about a fourth category of people - men who know they are men but like wearing clothes which are feminine on somewhat feminine, but do not dress up as if they were the opposite sex.
I guess because I really struggle with 'dress up as if they were the opposite sex'
I wear jeans and t-shirt pretty much all the time. To a person from the 20s, I would be 'dressing up as the opposite sex' - despite that being ridiculous given my body type (no-one's mistaking me for a male). If it wasn't for trailblazers in the 40s and 50s, I wouldn't be able to wear those trousers without ridicule and abuse.
There is a group of men, a small group admittedly, who are like this in reverse (and for fun reasons rather than practical ones). They are caught up in this, because there is significant overlap with the way they present themselves, and the way transvestites(who I class as type 1)/non-binaries(type 2ish - bullies or bullied rather than predator)/confused or lied to (type 3).
I would suggest that their flamboyant and fashionable dress would read as much more feminine than my jeans and t-shirt - that if you were to, in isolation, describe the outfits or put them on a hanger, you would say that my jeans and t-shirt were the 'men's clothes' and their outfits were the 'women's clothes'
Whilst I hesitate to centre men in this, I also think that part of the way out of this current strictly enforced gender stereotyped period is to point out that it's fine for non-type 1,2,3s to dress as they please. This is a little self-serving, I have a boy who's always loved pink and glitter, but had it subtly culturally suppressed by his peers since he got older, and it's sad to see.