A game that's got well written characters representing minorities or which includes political theming and executes it well (e.g. Bioshock, Fallout 2 or Disco Elysium) is more woke than any other. That kind of game's core concept is to make a strong point about structural injustice in society.

Games with token representation or the plot is thin but the main character is a woman so you're sexist of you don't buy it are generally not woke at all. They're only pretending to be as a marketing strategy. They're not doing anything to make anyone think about structural injustice in society, and are instead appealing to the common don't be horrible to groups that it was normal to be horrible to decades ago that their market research team determined were already agreed with by most of their potential customers. It's just capitalism noticing that mysogynists etc. are no longer the largest demographic and being very unsubtle when signalling that the product thinks women are people.

There are a small number of very vocal people who complain about both kinds of game. They don't want people to acknowledge that treating women as people is now the default, but even more than that, they don't want people to play Bioshock as then if they're shown anything by Ayn Rand, they'll be immediately able to spot the flawed logic on her philosophy. They're careful to make sure to present it as if they're only complaining about the virtue-signalling-as-marketing kind as everyone recognises that they're generally crap, so it makes it look like they're making a reasonable argument. It also means people amplify the argument, but by using phrases like woke instead of badly written it makes it easier to correctly label well-written games containing politics they disagree with as woke, too, and have people make the association with being badly written annoying slop by themselves, without having people who've played the game point out that it is well-written and someone saying otherwise is an idiot.