No, they cannot. They really do seem to think that what we want is for women to return to traditional roles and presentations, and that we are rejecting of gender non conformity. This is because they cannot differentiate between Gender and Sex...plus that they don't really understand what 'gender' implies or means in the first place. The term 'Gender' has simply been embraced - without any analysis at all.
What they seem to think is that by claiming an opposite sex identity you are challenging gender stereotypes (rather than re-inforcing them, as it actually the case). It's all so juvenile......as if they've never really read the foundational texts, or understood the principles of both the women's movement or the gay liberation movement. It is as if neither had ever happened.
My best explanation for the confusion is that they think that there are absolutely no differences between the sexes...apart from body parts....that all else is socially constructed. Sex therefore has no consequence and doesn't mean anything. 'Gender identity' is therefore just personal prefernce or an identification with certain types of thing which are the opposite to that expected of one's sex.
I do think there are certain elements within certain types of feminsim which have encouraged this belief. That by suggesting that males are bigger and stronger, or more prone to sexual paraphilias etc is to also suggest that women are weak and pathetic and cannot stand up for themselves, and so on ( which they see as a harmful gender stereotype).