At the bottom of this very submission are a bunch of dead comments that are very obviously LLM-generated.
People, many of them at least, cannot make this distinction anymore. You can, I can, but people as a whole are having problems with that.
Even this (assuming it's even true) will likely not be true in some near-term future.
>continuously claiming this or that is a bot
I see it as a contemporary form of religious thinking. Like (say) pilgrims seeing blood on a statue of the virgin, plenty of people are now seeing the hand of AI in everything they read. If you want to see something hard enough, it tends to become magically visible.