Alternatively: If I'm getting paid for factually-correct answers, I'm less likely to throw away money by using my answers as an opportunity to signal my ideology.
Hardly! Professing belief in something blatantly untrue is a wonderful social signal, it says you're willing to stick with the in-group no matter what!
Example: Someone close to me thinks the Detroit Lions are the best football team.
I meant to be subtle about this, and you raise an excellent point. Tribalism is great for the in-group members and the in-group itself, but it can be horrifying to out-group members and greater society.
The point was that suspending critical thinking to belong to a tribe has consequences when reality catches up, unless you're trying to imply that abused wives are not part of an out-group.
You can say that, but [almost] everyone has ideological beliefs that conflict with the best available evidence. Maybe you rationalize it to yourself that "well, the jury's still out...those studies aren't conclusive" or "yes, but in principle my belief is correct, it's just that X, Y and Z are confounding variables so..."