My point is this: You have however many hundreds of millions of people that consider themselves "woke." Their collective actions and opinions are going to be the best representation of what wokeness equates to in the real world.

They're not intellectualizing it in the way you are. Thus, they're not practicing it in accordance with that theorization. They're not reading the books or writing discourses on the subject. They're just saying, "Oh, the average Black family has 1/10th the wealth of the average white family? That inequity needs work."

The race-studying intellectuals and the overly sensitive, keyboard-warrior SJWs are a tiny, tiny minority of the larger movement. Woke is what woke is in its largest context, not whatever niche definitions some small subgroups have decided on. For that reason, the colloquial meanings have more worth than the textbook ones.