Political correctness and language codes are not new. I think what was new is the idea that people could rally around the banner of awareness, and thereby avoid disputes about solutions. This is why many of these topics lose momentum once their followers get the attention and have to deal with the hard and less popular questions of how to fix something.
I think what most people call "woke" is probably just a reaction to the obvious emptiness of many of the things politicians like Kamala Harris chose to focus on whilst ignoring more concrete issues. A lot of it was stuff there never was a solution for.
Put another way: the culture war (as woke vs. anti-woke) divides the electorate, but in a way that lets them be parceled out between two factions of the ruling class, rather than aligning any of them against the ruling class.
The idea that wokeness is in contrast to class-based advocacy is not correct. The right will happily call class-based advocacy "woke" until the cows come home.
It is not true that the establishment left is using "woke" advocacy to avoid having to talk about class. It is also not true that if the left stopped talking about "woke" concepts that the right would suddenly get on board with class advocacy.
However, the debate constantly returns to the the question of how important these issues are on an imaginary scale that doesn't exist, instead of what we should be doing out.
Bob thinks police brutality ranks 9.8 on Bob's "importance scale". Sue thinks it ranks 7.6 on Sue's "importance scale". Arguing about the numbers and scales is completely irrelevant, and an excuse to attack someone else's position instead of proposing a solution you have to advocate for and defend. It is a strategy of taking the fight to the enemy.
In your hierarchy, I think most people would also agree that an activist blogging about using the world "unhoused" instead of "homeless" is more woke than the one advocating for the wealth tax.
Similarly, someone arguing for wealth tax and transfer on moral grounds is more woke than someone who argues the identical policy saying it will result in long term cost savings.
In my opinion, and many others, the type of speech is what wokeness is about. Particularly of the kind that are moralizing lectures explaining how Superior the speaker is.
Concrete solutions are far more preferable.
Just wondering why you are allowing "homeless" to be used without retribution, but someone using "unhoused" is disparaged as woke. Seems like language policing to me.