I don't think that AI will kill the internet, i think it will kill the wide web, but here, the small web will thrive. As more and more of the wide web becomes filled with sludge as it has been increasingly over the years, people are moving away from it, back to sites like neocities, message boards like this, the fediverse, everything that is resistant to advertisers and people with money, and everything that encourages creativity and freedom.
The internet is one of humanities biggest and most important inventions, it will never die, it will only change.