I can feel the difference between this character happens to be X "minority" but they are here in service of the story and we wrote this character in to be the representative of X "minority" and the story is in service of their tokenism.
I can't stand the second type of content in any medium. I honestly feel that it is an insult to people of that group to make absolute shit content just to force diversity.
2 great examples. Ghostbusters, but with women is super cringe. If women are just as funny as men why didn't those funny women make original content instead of ripping off something men already did? (I admit I didn't watch it) on the other side Firefly was woke AF by definition but isn't cringey at all. An interracial married couple just was and I can't recall it ever coming up. That is far more inclusive than a billboard of lights flashing "look we did an interracial couple, how special"
That said, if you run around complaining that content is woke, you are a bigot looking for an excuse. The problem is ham-fisted writing and the minority status of the poorly written characters doesn't matter any more than Zoe and Wash's skin color.