Potentially yes, they can exhibit similar patterns. In fact lots of cishet women have also complained about being objectified because their (potential) dating partner is attracted not to the whole package but to a specific part of them- it’s a classic feminist talking point. The “chaser” label gets added when the person being objectified is marked as deviant in some way. But it’s def not just cishet men who are capable of it.
Ok I went and looked it up, the original question in the screenshot was about specifically dating and specifically trans men. Not a one night stand, and not someone who likes being a woman