Indeed, so society should emphasize that either sex has more freedom than we tend to think, and just because a boy doesn't like football, he shouldn't start fretting that he's a girl. But accommodating the gender-ideological wishy-washy redefinition of "man", "woman", "boy" and "girl" is a terrible way to try to accomplish that. The way to accomplish it is to affirm that all women are female, and all men are male - these are simple biological facts we can't change, and if we have some (in my view, fanciful) notions of our 'gender' and its expression or preferred roles, those have nothing to do with whether we're actually a man or woman. JFC, I can't believe I'm actually having this conversation with someone who's fed up with the entrenched gender roles, and thinks the way forward is to let some females be 'men'! Why would they be 'men', because they like football?!
Great! More power to us all!
Yes, that's the problem. Caveat: I don't think there are actual 'gender roles', and I suspect you mean the same. There are behaviours that are commonly associated with one sex or the other. Hence, as you say, some people try to be non-conforming and adopt behaviours typical of the opposite sex. And a large proportion of them say that's because, although they're "male" (e.g.), they are in fact "a woman". This language is what you are colluding with.
I also agree with the opposite criticism leveled at you, that if you think this is a solution to gender idiocy, and enforcing "male" and "female" this and that, you've not understood the political forces at play, and there are plenty of TIMs who assert they are not just women but female, and vice versa.