All this discussion of feminism and the Right! The Right Wing has lots of feminists. But they're all old school equal opportunity, women should carry a gun feminists. None of them are idpol/equity/3rd wave feminists.
How did that old meme go? "The bulge in a Conservative woman's pants is a gun. The bulge in a Liberal woman's pants is a penis".
The Left has always been a collectivist movement at heart. It appeals to those who depend on a group for power. That's why women tend to be Left Wing because historically women have less power individually than men (physically and financially). But it also draws in a lot of beta men (and this is born out statistically with financial and even gym usage statistics). And that includes typical AGP MtF who might be physically large and aggressive but on some psychological level fetishize being some "weak and girly" stereotype of a woman.
And it's why a lot of individually powerful / assertive women in politics gravitate to the Right. Alice Weidell, Thatcher, Georgia Melonie, Marine Le Pen. Sure, the Left has a lot of women in the ranks, but how many female leaders has the Labour or Liberal Democrat parties have compared to the Tories?
I neither expect nor want everyone to agree with me on this, but I'd say that in a significant way the Right is more feminist than the Left, because the Right tends to give less of a stuff about someone's sex. That's bad for equity based feminism, good for meritocratic feminism. But either way, there's "feminism" on the Right. It's just not what modern academics and the media recognize as "feminism" anymore which is all about enshrining sex as a group identity. The Right regards feminism as not hindering someone's rights because of their sex.
In the light of that last point, I think it's clear why on the issue of GC, the Right is appearing a lot more "feminist" than the Left.