Honestly I don't know if its really a matter of being "woke" as much as I think modern woke schools have no idea how to be subtle, creative, or just plain good, with the themes and topics they want to tackle.
Look at Zootopia, a popular movie whose plot revolved around racism, it had a good story and a good moral message. And no one really calls it woke. Its liberal, but nothing in it gets it much criticism. Especially with how libertarian the message really is. With both sides of a social divide having valid points and yet flaws that are invisible to themselves.
Now look at the new Batwoman show trailers, they have a song going "I'm a woman!" in the background while she literally steals the Bat suit, and then gets upset at the idea of been confused with Batman.
Of course that may even be the point, a flagrant middle finger to an invisible enemy to get points with an in-crowd and then get to call detractors of said middle finger that enemy they imagined in the first place.