I haven't seen the new Superman movie. I seem to have fallen off the list of people who've worked for DC Comics — which I've only done since around 1970 — who get invited to premieres. So I can't say if it's "too woke," which is a complaint I see online a lot today. The actor Dean Cain, who once played Superman, said it's "too woke" and others have.
Frankly, I have a hard time imagining how you could do a movie about Superman — a character who is all about helping people who need help — and not have someone complain that's "too woke." That might apply to any super-hero who didn't charge for his services like saving lives or stopping the world from blowing up.
But I also don't understand what "woke" means anymore. It seems to have become for some, one of those insult words you hurl at anyone or anything you don't like…like "He's a Communist," "He's a Socialist," He's a "Pedophile," etc. Someone doesn't have to advocate common ownership of the means of production for you to call them a Communist. They just have to be someone you view for whatever reason as The Opposition.
You certainly don't need any evidence of any child being mistreated to call someone a Pedophile, either. A lot of folks are upset at the claim that there are no Epstein Files were hoping there would be and they would reveal that every single person in public life they don't like had committed Statutory Rape so they'd disappear in one swell foop.