I've watched a bunch of those review videos and the only woke shit mentioned was in one vid where this guy went off on a very long and repetitive rant because the main character (who can be male or female) is referred to in dialogue as they/them. Not enough to bother me in the slightest. I was more annoyed that I wasted my time watching the video.
It's basically X-com with a bit more focus on story. I'm in, but I'm seriously disappointed that it doesn't have mod support, which adds so much replay value.
According to the recent skill-up video, the developers have a system implemented where it takes stock of your team after every battle and customizes a bit of dialogue to fit whoever's survived, and make a few references to whoever died.
I don't think long-term the story will actually change, it'll just be some references to the extras that rotate in and out.