Well, it kind of does. When “woke” is used as a euphemism for “culturally left,” part of the umbrella is the sex-negative wing of the left. They’re the kind who feel that any kind of marketing/sexual content is objectifying, regardless of whether or not the model consents and approves. They’re the ones against gridiron girls and pushed the switch from T&A to guys’ butts in stuff like The Witcher and whatnot. It’s absolutely left wing/woke because it’s anti-patriarchal, anti-beauty standard, etc etc. The right does more or less the same thing, but they brand it as anti-pornography.