I played a shoot-em-up game called Huntdown where a lot of the people you kill are poor, black, or both. You could easily analyze the bigoted tropes it imports from the ‘80s movies it parodies. But I don’t think the devs intended to give a message about bigotry, or any message at all beyond “it’s fun to blow shit up.”
I played a different shoot-em-up game called Blue Estate that tries to be “offensive to everyone,” which really just means it’s offensive. There’s bigotry, mocking of bigotry, and bigoted mocking of bigotry. I found it unpleasant, but I don’t think the devs seriously intended for you to agree with the bigoted shit. It was just supposed to be ridiculous and silly.
Both of these games are “political,” but I think there’s a fundamental difference between them. And while I haven’t played a game that actively pushes racism, I think it would be fundamentally different from both.