The only way it would ever matter is if you're in China and you're messaging the Prime Minister of Taiwan, or some absurd niche scenario like that.
In the United States, it wouldn't be probable cause for anything unless you're dealing with a restraining order or there's already other evidence, and even then, making a new keypair is so easy that you can just subvert the issue altogether by making a throwaway profile.
So no, I'm not joking.