In my experience, the ratio of men interested in trans girls to trans girls interested in men is generally not favorable to the men.
I think that those men that dream of "one day" having a girlfriend of their ... well, dreams ... greatly outnumber said girls. I could be wrong, though -- this is just subjective experience. Also very high chance of being projection.
I may just suck at figuring out how to flirt with them. I'm bisexual (I often use the word "pansexual" explicitly to convey that I'm open to anyone regardless of gender, including anyone's transitioning status or whether they see themselves as being nonbinary completely), and spent some time volunteering at my local Pride Center for a while. I was hoping to meet other LGBTQ people for friendships, and connections in general. There was this one trans girl that was often there (she'd come in to use the free Internet, as I gather that she was using pretty much everything she earned for her treatment) that I was absolutely MAD about ... so shy, demure, incredibly pretty.
I still remember how I couldn't get the mental image of her immacuately smooth, pale legs out of my head; how how they looked while she wore her sundresses in the summer that I saw her there. For whatever reason, I had about as much luck summoning the bravery necessary to try to court her as I usually was with any girl, cisgendered included. I later saw her with another trans girl (it often seems to happen), and I took it to mean that I was likely not even in the Universe of her type and silently gave up. Maybe I shouldn't have. :-(
I've known many trans individuals, over the years, and while I seem to have no problem attracting men (I even briefly dated a trans man, FTM, at one point), the trans women that I've pined over seem as unattainable as as unicorn to me. I'm also incredibly fond of male-identifying twinks who also refer to themselves as "femboys," though I have equally bad luck with them.
I have to be honest and say that I'm also just attracted to outright androgynous beauty (and it is a thing) in and of itself.

Anyway, it doesn't help that I've had the most intense feelings recently for a trans girl, and she may as well be on the Moon. I'm terrified of even trying and getting my heart broken.
I don't know where my confidence goes with them. I've bedded an 18-year-old twink as a 39-year-old man, adorable and freshly shaved and devoid of all body hair, sweet-smelling and with a fondness for larger, older, stronger men ... someone I should not have been able to attract by what average people would think. I've fought off multiple crushes from women that I work with ... but I just cannot remember that some people do find me attractive (or at one point did) when I try to talk to her. :-(