If he wanted to risk being treated as a radioactive dumpster all the rest of his time working at that company - sure, he could. Maybe it wouldn't happen - maybe she would turn out a wonderful individual who would thank him for correcting her and educating her about the truth. Or maybe not. Given the risks of "maybe not" - the smart money is on "bite your tongue".
As it is true for any number of conversations in the workplace? Try telling your boss they're not as smart or talented as they think they are and see how that goes.
I'm not sure how "making broad generalizations about your coworkers based on their gender" differs from all the other stuff most people have to keep quiet about as they go about their work.
> Try telling your boss they're not as smart or talented as they think they are and see how that goes.
Why would I? My boss is very smart and talented :) No, seriously, I'm anonymous here so it's not because my boss would be reading it - I just not enjoy working for idiots and I have the luxury of being able not to do it for long.
But in general yes, telling people they're idiots doesn't usually go well, so don't do that either.
> "making broad generalizations about your coworkers based on their gender"
Oh it has nothing to do with gender. If've seen hyperwoke males as much as I seen females. It's the type you want to bite your tongue around, not gender.
This is one of the few examples where the phrase "political correctness" could be used correctly. Speaking 'correct' facts is not the 'correct' move to maximize the probability of still having a job tomorrow.
When the whole discussion is about a guy getting fired for saying a thing, it's not safe to defend him if you don't want to risk being fired. It's that simple.