That's still authenticity though. What's not authentic is people who conceal those aspects of themselves, and it's also far more dangerous.
Authenticity can be good, bad, mixed bag, if someone is in reality a liar and decide to be so? Authentically hope they keep themselves away from me.
Referring to an "autentic self" does not excuse all kinds of behavior. There exists expressions of some kind of authentic self, sure, but so many things people do are just carelessness or disregard and not actually important to who they are.
Don't you think this would open the doors to an endless amount of bad behaviours?
No.
The problem is that for humanity, unrestrained behaviour will very quickly degrade into horrible things. There's scientific evidence for that, if everyday life is not proof enough for you.