Not sure where you're getting the idea that there would be thousands. But as for the shitty part, it's already shit. Google's search engine utterly fails at it's job, and not just because of the rise in LLM/SEO. They waste billions on fancy new AI searches that nobody wants, they accept bribes to get pages to the top of the search, and even when you're looking at an actual for real result, it often isn't even what you want.
When a critical industry fails to do its job, it is time to nationalize it. With that said, the criticality of search engines is debatable. I'm cool with breaking it up at a bare minimum. The list of corps in need of getting broken up is way to long.