It's a huge leap to go from "you wrote x passage" to "you may be biased against women". If you want to fire someone for bias, you need evidence of bias, not a theory that someone might be biased.
The difference between "can" and "should" is the entire moral universe.
If someone in your future/present management chain wrote a "I think people like slibhb are bad at this job" missive somewhere, would you then feel the need to wait for examples of bias?
It's a literary device, and it's sad that it's biting him in the ass (I don't know him, but know lots of people who do, and they mostly seem to think he's OK).
Uh, not firing people over Twitter drama? I swear America is getting more insane by the day. It's even more obvious if you take a break from social network sites and then come back after a while.
Edit: Well, it seems that, according to Wikipedia, the impetus might have been an article in tech media (which seems to mean anti-tech media these days).
https://www.cnn.com/2021/05/13/tech/apple-antonio-garcia-mar...
You see, AGM isn't a misanthrope misogynist, he's fierce! He says the things everyone else is afraid to say and thinks the things everyone else is too afraid to think because he's an Unconventional Thinker (TM). Everyone else is simply just too threatened to acknowledge this and that's why they're bullying PG.