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.