I think it really depends on the context of each game individually. Too many shoehorn it in unnecessarily to check a box. Usually it's to fill in when the writing is already terrible and the forced virtue signals just make it worse.
Some random WOKE things I can think of from recent history:
Recently I was in a car with 5 work people and we were talking about recent Star Trek shows and one of the guys complained that Star Trek was TOO WOKE now, and then I was like "Um Star Trek was woke before you were even BORN."
Even if I thought it was absurd, TLOU 2's "What if you were LGBTQ during the zombie apocalypse?" was fine. The game wasn't presenting you with choices relating to that stuff, it just told you, this is who these characters are. The characters had enough depth and background for it to be okay I guess. With Aloy in Horizon 2 it felt like she just wasn't into anyone at all in the first game, then just... was into women in game 2. I think overall it depends on the choices a game gives you. If it's all about CHOICE and then it forces you into a LGBTQ role that's terrible game design. Shepard in Mass Effect could fuck everyone, and most of the PG13 sex was fairly bleh anyhow.
I remember people melting down over the several TV series being too woke, such as Watchmen, She-Hulk, Lovecraft Country, and still found them all enjoyable. Maybe people just need to chill, or eat an edible or something.