I don't think that is accurate. "Woke" still retains its original meaning of "aware of racial discrimination," and its subsequent generalized meaning of "aware of social inequalities." What happened was very similar to what happened with the word "liberal," which also retains its original meaning, namely, "tolerant," in that those threatened by equality or inexplicably opposed to awareness of inequality inscrutably use it as a pejorative. This doesn't make a lot of sense because "woke" used pejoratively strongly signals, "I am a racist and/or sexist and/or opposed to equality and/or opposed to awareness of inequality."
You're confusion is imagining that we care that's what it signals.
Honest question - I've heard people using that line in all of those contexts.