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.
I would agree that wokeism does not have a monopoly on performative and judgmental moralizing. I suppose prigs come in different flavors. All wokeists are prigs, but not all prigs are woke. Im not sure what the central characteristic is of anti-woke prigs...
To the language policing point, I think think there is difference in views. One person might think it is important to police language because the words matter. Another person might say the words themselves are irrelevant, but the reasons for changing them foolish.