Saying "woke is about hate" seems close to making the original question tautological -- i.e. if it isn't dreary and hateful, then by definition, it isn't Woke.
Why do you think hate is necessarily dreary? I thought Captain Marvel was full of hate (which is not what 'hateful' means, BTW) but not dreary, or at least much less dreary than I expected. Black Widow had a lot less generalised hate, while I found it a lot drearier. I guess my expectations were higher, though.
Leaving aside Wokery, plenty of films are full of hate but not dreary. Braveheart has a huge hate-on for the English, it's pretty entertaining IMO. Conan the Barbarian hates on hippies and implies it's a short step from flower power to Manson Family; it's one of my favourite films.
OK, fair enough. I feel like the categories here are very subjective, but I guess that is inherent in the topic. As I said before, I thought of "woke" as something applied to stuff like touchy-feely snowflake participation prizes -- whereas you consider it to be specifically about hate.
Overall, I don't feel like I have a good grasp on what you consider to be woke. I mentioned Steven Universe before - that seems very woke to me, but not hate filled or dreary. On the other end, what do you think about black revenge films - like Django Unchained (2012) or the Birth of a Nation (2016)? Would you consider them to be woke and/or dreary?