People do use “wokeness” to describe forced/pandering diversity, but I’ve never seen that to describe just people who happen to be black or a woman in games. Sadly can agree though that it happens with gay/trans characters-

The problem is, any new diverse characters/media is immediately treated as "forced." It happens less with race than it does sexuality/gender, since sexuality and gender are generally newer in terms of broad acceptance compared to existing acceptance for racial diversity, but it does indeed happen.

Diversity is absolutely a more left leaning idea, especially nowadays, when diversity is actively feared by the right, which is why they are almost always on the side of the racists/sexists/homophobes/transphobes/etc today and throughout history. I'm not saying those on the right can't accept diversity, but that they often don't.