There are many types of men. So of course trans men will not have the same privileges as white, bourgeois, cyshet men. But there are black, gay, disabled, etc men. The male sociopolitical class is distinguished by power over women, that’s it. So yes trans men fit into this.
I really do not see where you got that sentiment. The way I read that post was “trans men are men but don’t get all of the sociopolitical privileges and experiences that cis men do”