That's only relevant until the AI output no longer has a tone that triggers your gag reflex. Then you'll be in the same boat as everyone else, and the "who cares who/what wrote it, if it has good information" question will apply to you as well.
What will actually happen if and when AI output is indistinguishable from human writing is that I will curate a whitelist of people I know personally whom I trust don't use it, only read from them, and everyone else can piss off. I've already stopped using several websites where the SNR has dropped too low because AI usage is rampant, I'd have no problem extending that to the entire internet.
