I also have absolutely zero trust in Random Googlers being capable of determining truth and falsity in the general case (which is where this is heading), or in managing this power in such a way that is a net benefit to society. If they didn't have monopolies on information consumption I would be a little less concerned.
A different example: Google could have stopped people seeing "false" information about COVID earlier this year. Twitter and other platforms labelled this "misinformation", and Google could have censored it from YouTube, searches, etc. The tech companies anointed the WHO as the arbiter of truth, yet the WHO was wrong for quite a while about several important things. I would prefer to live in a world where individuals are allowed to see all the contested facts and arguments, and decide for themselves.
One last example: Ignaz Semmelweis would have been censored as "misinformation". Ditto Galileo and many others.
I suppose the real solution is to break up the information monopolies, then let them do all the censoring they want.
There is also a difference in kind between porn and this sort of speech. Different laws apply, different social norms apply, different technical options (and trade-offs) apply, and so on. I have also heard that there are many other porn hosting websites, and Google does not enjoy any sort of monopoly.
Perhaps we're talking past each other here but to put my general point a different way, and it's only relevant because Google is effectively a monopoly: If you were told you could be born into a world with a free internet, or a curated internet, but you had no influence over who would do the curation, which world would you choose?
YouTube is the 2nd largest search engine, next to Google itself. I would say it's not beyond the realms of possibility for YouTube to eventually eclipse Google.
1. How would the average person find that website? A search engine perhaps?
2. How many search engines does the average person use? One, perhaps? Which one?
2. Probably the median person uses several -- google, facebook, and the like.
If Google was a courtroom, you might have a point --- the courts are in many circumstances obligated to hear and dispassionately resolve batshit frivolous cases. Google is not.