Is there any point to “You'll pay for this” responses when talking to other players?

Question

When being told

Oopsies, it seems we have squashed one of your favorite city-states.

or similar niceties by an AI opponent, is there any benefit to responding with "You'll pay for this"? I assume it's there to build mutual hatred, so the opponent may attack you sooner rather than later or punish you in other ways. Is there a benefit in provoking a war?

Answer 1

Seems likely to me that it will help to raise tensions; which in turn might have it's uses. Like luring them into declaring war on you so you can thence crush them and still look like the good guy in front of other players/city-states, or maybe milk a defensive pact.