When you're on the right, you campaign against wokeness without any difficulty. It's logical, and even fair game: the excesses of certain activists allow them to ridicule in public, by amalgamation, all progressive ideas. Nonsense for conservatives...
But when you're on the left? Let's be honest: things get complicated. Tactically, you're adding your voice to a camp whose ideas you don't share in any way. Risk of confusion. And basically, you're attacking a movement that thrives, among other things, because of the very real discrimination that affects certain "visible minorities", or, for example, because of the injustices and violence done to women by the ambient machismo. By denouncing this "woke" militancy, even for good reasons, you risk underestimating the righteous anger of the victims of racism or sexism, which is obviously not the intended goal.