Interesting. You agree, then, that women gossip more than men. But you think gossip - which means talking about people behind their backs - is
good for social cohesion?
This really sounds like a complete inversion of reality. Straightforward communication is good; manipulating information, denying information, etc are bad. Lots of girls (and some boys) even commit suicide because of gossip campaigns against them - and nowadays it's frequently mediated by social media.
I've been targeted by a female gossip campaign in my youth. The lies flowed freely and harmed me tremendously, always whispered behind my back so I couldn't correct the record. In contrast, when boys had a problem with me they threatened physically instead. Many have experienced this dichotomy.
It's hard to see how one could come to your conclusion from a purely fact-finding mindset. But I'd be interested in any observations that led you to this conclusion. At this point, I think there's a good chance that you feel you're morally compelled to believe this regardless of evidence, as part of a political/moralistic project to change the world according to some grand narrative.
Anyway it's testable. We can just consider: Do groups composed of all men have better or worse social cohesion than comparable groups composed of all women?
I've heard from people who worked in offices of different gender mixes that there is a difference... and it doesn't support your theory. But there must be some better evidence, somewhere.