Someone who explains the same thing better than I do: https://helenpluckrose.substack.com/p/defining-woke-and-woke...
I think it's the trick with the "woke" definition: people who think it's a good definition always end up given a definition which describe them very well or describe the group that they are claiming is the victim of the big bad wokes.
The best definition that exists is "woke are people that defend a view point I don't like. I'm using the same strategy as them to defend my own view point, but because I like my views, I think my views are reasonable, and because I don't like their views, I think their views are unreasonable"
This shouldn't come as a surprise really, certain words have been in vogue in the last few years (i.e. "systemic", "white supremacy", "inequities", ...), and they all share a common theme/premise about race, sexuality, and gender. Associated with these beliefs are people who use these beliefs to justify illiberal behaviour. Is it then unreasonable to denote this observable phenomena with a term, which just so happens to be called "woke"? This is the same line of reasoning which has led to the (rightful) creation of terms like "right-wingers" to denote illiberal people on the political right, and their associated beliefs. There's nothing here that's partisan or conspiratorial. So what's your deal with describing observable phenomena with some word?
Perhaps you should consider that your final paragraph more aptly describes your position than it does mine.