Faking empathy as an existentialist makes one an inauthentic person. Being inauthentic doesn't make the person an existentialist. (One can try not to be inauthentic of course.)

Therefore, an inauthentic existentialist doesn't exist.

Everything written on this post is either false or meaningless.

It's something like that. I can't compute dialetheism, I'll just go fake myself.