I don’t see why women couldn’t have invented language.
I’m sure they invented it when their kids started to walk upringht: Don’t touch that! Stay away from there! Pick up your bones before you go to bed!
They DID, as a mutual molecular massaging technique, sort of like grooming each other with sound/various frequencies. They were doing this sitting around the campfire, humming, talking, gossiping LONG before men did. Language between women was the original cryptographic code, if you(man)don’t know what they are SAYING, you’re left out in the cold, communication-wise.
Hey, I’ve got a motor mouth sister(and ex-wife), fortunately they both live far away. I KNOW who invented language : WOMEN...yakadeyakadeyakadeyak....