People have been doing this to "protest" AI for years already. AI trainers already do extensive filtering and processing of their training data before they use it to train, the days of simply turning an AI loose on Common Crawl and hoping to get something out of that are long past. Most AIs these days train on synthetic data which isn't even taken directly from the web.
So go ahead and do this, I suppose, if it makes you feel better. It's not likely to have any impact on AIs though.
I've long found it funny how some people claim that generative AI produces terrible slop, and simultaneously that it's a huge threat to their jobs.