Wellllll... Not exactly hitting on me and not in a club! But...
I dress well for Sunday services at my church. I'm not showing skin or such, but I was always raised to look my best for church. Growing up that was a suit or at least nice pant and jacket. These days, it might be a pantsuit or dress. Again, looking my best, makeup and hair in place.
I had one fellow, apparently very shy, but who would seek me out when we greet each other in service. He'd pop out of his seat and dash back 10 rows to shake my hand, and sometimes mumble a compliment before dashing away. Flattering, if slightly creepy! One of my friends thought I had an admirer.
However, I recently had gender confirmation surgery (GCS), so I am definitely an 'innie', not an 'outie' down there. I had support in surgery and recovery from over a dozen members of the congregation, and pretty much everyone knew I had some sort of surgery after the Caring Committee announced I was in hospital and recovering from 'a surgery' and passing a card for folks to sign. It didn't take long for folks to put the pieces together and figure out I had some sort of bottom surgery.
Since then my admirer has completely lost interest in me. This is a relief to me, as I'm not interested in masculine folks that way, and his attentions felt slightly creepy to me.
I suspect he was one of those folks who are attracted to pre-op transwomen only. Yes, that is a thing, pretty much worldwide. I know some folks who limit themselves to cross-dressing that have had similar admirers, and at least one has some regular older male companions I see her with around town.
So, there's no need to invoke stereotypes, either of presentation or culture. There are men out there who enjoy the company of various sorts of pre-op transwomen and cross-dressers. If someone gets read as such, they may attract attention and admirers. Some folks like this attention. Others do not.
That's life. Many paths, many choices. Choose wisely.