You’re only letting them have it if you also let them define it. They are anti-woke. Woke (aware of structural injustice) is not a bad thing to be. 90% of the population has every reason to be woke because 90% of the population is subject to structural injustice. But far too many have been distracted by the idea that some other fucked-over group has it better than them, or gains consolation from not being quite at the bottom of the pile.
It’s a neat trick but so easy to expose. And one of the simplest ways to expose it is to make them spell out what they think it means.