Almost every content creator rationalists follow owns their platform: podcasters like Sam Harris and the Julia Galef, bloggers like Scott (and myself), all the nerdy webcomics. And yet, outside the rationalsphere every creator seems engaged in an endless fight against censorship and harassment by the platforms that are supposed to enable them: Facebook, Twitter, Tumblr, Patreon... So why do they stay on those platforms? Other than Sam Harris giving Patreon the middle finger, no one else seems to do much except protest platforms on the platforms themselves.
This questions really came up for me after reading the saga of Pewdiepie and YouTube. Currently, pewdiepie.com redirects to his YouTube page, where he posts videos protesting YouTube. This is crazy. The technology that YouTube provides was hard to build when YouTube started a decade and a half ago, but surely today it's not a huge challenge. PDP has 20 billion total views. He doesn't need traffic from the algorithm suggesting his videos, everyone else is trying to game the algorithm to get redirected by PDP! Switching to his own platform would allow him to capture a higher percentage of revenue, be immune to any kind of censorship, and make him a legend if he starts an exodus from YouTube. He can host all the other non-PC comedians on his own platform. How is that not worth losing a bit of traffic as viewers readjust?
The problem is that building a platform to enable those 20-billion views carries enormous fixed costs that only make sense when they are amortized across a truly massive amount of users, both in terms of uploaders and users. Video delivery at scale is one of the most difficult engineering problems out there. The only companies that have mastered it (YouTube, Vimeo, PornHub, Netflix, Amazon) are all billon dollar enterprises.
Sure, PewDiePie could pay to build out his own video service. But would it be as good as YouTube? It's very doubtful that it would have the level of polish that YouTube offers. YouTube is far more than just tossing up a bunch of .mp4 files on a web server.
Finally, I think you're underestimating the power of YouTube's algorithms. When Logan Paul (another YouTube celebrity) got delisted from YouTube, he suffered a massive revenue hit, even though his videos were still on the platform (but not showing up in search results). So I do think that PewDiePie is beholden to the algorithm. I would be willing to bet that if PewDiePie got delisted from YouTube, he would rapidly be forgotten, and would be replaced by the next YouTube celebrity willing to walk the fine line between "outrageous enough to be entertaining" and "so outrageous as to cause offense".
Edit: Scott Alexander has addressed the part of your question regarding hosting other comedians on his excellent post, Freedom on the Centralized Web. He correctly points out that the initial group of switchers are all going to be people who YouTube has deemed undesirable. However, YouTube deeming people undesirable is an effect. The cause is that these people have offended some powerful group (copyright holders, activists, etc). If all of these people abandon YouTube and start their own platform, the same forces that kicked them off YouTube will ensure that their new platform is starved of funding and respectability. For a good example of this, look at what happened to Gab. I don't support Gab, but the saga of Gab shows how difficult it really is to set up an entirely independent platform, which supports content that society doesn't approve of.