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You're right, these companies do have the right to censor speech that they disagree with. However, if they do that, then they are responsible for any speech that they do not censor. So for instance, if someone posts a libelous statement on Reddit, and Reddit doesn't remove that statement, then victim of libel should be allowed to sue Reddit directly, instead of just suing whoever made that post.

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I think I'd agree if the circumstances are the same, and on request a libel was not taken down for you when it was for other people. The same circumstances including being on the same subreddit, being caught by the same auto-filter, being notified in the same way, at least.

So, for example if libel against you wasn't caught by a particular filter then that's not bias against you, and so they are not party to the libel (unless you can show the filter was specifically designed to fail to catch libels against you).

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