There is a drug called mifepristone which induces abortion. It takes a while to work. Some mothers change their minds after taking the drug and, till fairly recently, could do nothing but wait in horror. But now there is a progesterone-based drug available that will for some time after the mifepristone has been ingested reverse its effects. The drug is known to be safe for the mother and its working is understood by both pro- and anti-abortion clinicians. Someone has put on YouTube videos explaining how the drug works and descriptions by some users of how glad they were to have had it available when they changed their minds. YouTube has closed the account of the people offering these videos to the world, presumably because YouTube’s management is pro-abortion.
Now a question: is such censorship legitimate? The disk space belongs to YouTube, but YouTube is more or less a common carrier for videos.