1960s "woke" was a word which was only used in black culture. I think it meant something along the lines of watching out for people who profess to support black liberation but are actually working to undermine it, but I'm not a black person so I may be a little bit off there. 2020s 'woke' is a word which has been thoroughly misappropriated from them, as part of a campaign which has amongst its goals, putting those uppity black people back in their proper place i.e. not on television.
If you see a show which is completely creatively lifeless but does have an excellent diversity of races, sexualities etc. then complain about it being completely creatively lifeless. The diversity in such a show will be the one good thing about it, don't make a complaint which sounds like it's that one good thing which you don't like. To do so is to support the far right, regardless of whether you were intending to do that. If you see "woke" as a term of criticism, then you need to remove that word from your vocabulary, because the fir-right have inserted it into segments of popular culture for a reason.
For example, here's is how I would complain about the Chibnall era of Doctor Who, with its female Doctor, first Asian companion, stories in parts of the world which never get on television, Rosa Parks story etc: "Chibnall clearly wants to be writing cop shows and has no idea how to write science fiction or fantasy. His stories are just sequences of events, failing at the most basic level of aboutness. What's more, the admirable diversity of casting and new talent found behind the cameras is a progressive coating for a deeply conservative heart. The first woman Doctor is repeatedly written as ineffectual to irrelevant, culminating in a big ending where she spends most of her time imprisoned so a man can explain the new backstory to her. No longer someone who might bring an empire down, her mission statement of "bringing fair play to the universe", delivered to a foe whose cheating is apparently worse than his murdering, forecloses on any idea that maybe structures of oppression are fundamentally illegitimate and should be torn down which until now has been one of the basic assumptions of the programme. The nadir of the approach comes when in the space Amazon story, she concludes 'the system is not the problem'. The real problem, apparently, is violence from the left."