As a rather left leaning Person I have no problem with New Trek beeing "woke" in general.

I fucking hate Discovery, to a point that I had to give up on it after season 3. Picards first 2 season where almost as bad (I like the third season, more or less).

The problem is not so much the wokeness of those series, it's that it's just bad storytelling.

The way how "woke" ideas are implemented just feels like pandering to the audience. Homosexualyity, Non Binary characters, enviromentalism... I approve representation for all of those and would have loved to see them integrated in a meaningfull way. But the way they were handled it felt wrong to me, as if they were forced into the story rather than emerging from it organicly.

Edit: I have since I posed this done some reading. While I still stand by this, I do see how Queer topic at least been handled with respect in Discovery. Still embeded in a badly told story, but hey, it's something and I see how that is not nothing.