"Woke" has gone through what I see as three definition phases, all of which have struggles with subjectivity.
1. Leftist/progressive jargon
Where it began it essentially meant "socially conscious" albeit from a leftist perspective, aware of world's ongoings through a progressive framing. This has two problems, namely one, that the finer details of that are going to vary quite a bit depending on who you ask, and two, that it is a very self-congratulatory term. You pat yourself on the back with this term much in the same way as the self-identified "intellectual", which lends itself nicely to the next phase.
2. Left-critical/mocking
As soon as that term broke out of the circles that birthed it, it got turned around to mock those who once used it as a way to call out their pretense and hypocrisy. While it's nice to have a punchy word with which to call out slactivists and civil rights LARPers, it does not in itself contain any case or counterargument, and so does not lend itself well to intelligent criticism. That leads into where we are now…
3. Rightist tribal jargon
These days it's mostly people on the American new right you see using the term. It's also here that you see some of the most confusing use of the term that will get the uninitiated asking what the hell that even means. It doesn't mean much in this context, as it's just a word used to identify an outsider, usually a progressive or liberal, or something that aligns with those interests.
All this gets muddied further by the occasional person who either hasn't caught up with how the usage of "woke" has developed or makes a failing attempt to reclaim the word for the left. It's good for punchy headlines and getting a reaction out of people, but useless if you're trying to make a detailed point.