> That and I don’t see how Google and Apple can both be monopolies in mobile.

Why not? Monopolies can be market-specific, and Apple does indeed fully control the market of iOS app distribution.

Whether they also are a monopolist on mobile operating systems, smartphones etc. is a separate question.

> I am not prepared to say companies should be forced to host and distribute content they believe reflects badly on them.

Me neither, but in turn I don't think they should be allowed to act as the sole distributor for their respective platforms.