There is a linguist claiming a stronger version after translating and working with the piriue (not spelling that right) people. Chomsky refuses to believe it, but they can't falsify the guy's claims until someone else goes and verifies. That's what I read anyway.
Edit: Piraha people and language
My favorite example of this used to be my kids talking about our chickens. Trying to get them to use feminine pronouns for the animals is basically a losing game. That cats are still coded as primarily female, despite us never having a female cat; is largely evidence to me that something else is going on there.
I'm curious if you have reading on the last point. Can't promise to get to it soon, but I am interested in the ideas.
https://en.m.wikipedia.org/wiki/Pirah%C3%A3_language
There are also a ton of videos and blog posts on the subject.
Not much. It's mostly inference rules, just like in English use of pronouns. I's just more pervasive, pertaining to verbs, adjectives, etc... If we're talking about gendered living organism, then it's just a marker for that binary classification. Anything else, it's just baggage attached to the word.