That will be a problem for sure. But people believe all sorts of easy to debunk things already and that list is ever-expanding, so I don't know if there's any cure for it.
As far as content goes, I think human beings writing out boilerplate anything is something that's not long for this world.
Labor is a trickier one to judge, but I'm not too worried about a large negative impact in the immediate future.
People thought that modern appliances would usher in a new age of leisure, and the truth was that while they removed a lot of drudgery, work expanded to fill the vacuum and the percentage of the week spent laboring didn't significantly decrease.
On a positive note, I think the kind of work people are subject to now is better because of modern appliances, so I wouldn't be surprised if the same holds true for all the labor problems that can be handled by neural net / LLMs.