If gigantic multinationals and infrastructure providers stop hosting anything that might be unpopular or generate bad PR, then we quickly approach a world where the tyranny of sheep logic[1] (not what people think, but what people think other people think) will dictate the very narrow range of what products, services, media, literature, and art are available.
That world sucks and we should avoid it.
This has already mostly happened for concert venues in the US, as well as video hosting.
Already we've made a world where the basic human unclothed form is all but outlawed except in clinical (or apparently yoga) settings online. I don't think there's any upper bound to what a culture can contort into believing is unacceptable.