I authentically believe that when I'm angry, I should avoid talking to people in that state, because the me who's seeing things through anger is not a more authentic me than a drunk me would. That said, if you're a liar and conceal that? Yeah worse than being one all the time.
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.