I agree with the assumption that Evans thought he was untouchable. But it makes it more remarkable to see that moment in his video (which is replayed in Kim's latest), where he hesitates when addressing her claim that he was visiting sex workers for "many years."
Evans: "Many years? I think... I'm gonna say... [lengthy pause] three or four years."
I think he really wanted to either deny it or minimize it into nothing, but he probably realized that his words had been sent via a chat app and, therefore, still existed on Kim's phone/computer. So he came up with 'three or four years' as one pick out of a bunch of bad options.
It does show how bad the truth must be, that admitting he paid for sex "every few months for three or four years" was the least damaging look for him. And yet, he didn't hesitate to wrap himself in righteous indignation over Kim's Reddit post. In other words, cheating on his wife with prostitutes for years is not nearly as bad as telling everyone about it. The man's perspective is just a bit warped...