just because a lot of people rely on the google play store doesn't mean it's a public service in the legal sense. It's a very private piece of software that is NOT open source and is very obviously owned and managed by a single entity.
just like you get to choose who you let in your house. they get to choose how their software is used.
side note: monopoly is a separate issue.
There is only profit. The moment you become unprofitable for whatever reason you will lose everything. If tomorrow 51% of the world decided they hated left-handed people they would all find their accounts disabled, their website registrations suspended, their entire online presence forced into secrecy.
So far that's only happened, to my knowledge, to terrorists and white supremacists, but there is absolutely no legal reason why it can't happen to anyone else.
Private companies can't censor "bad opinions"
But private companies can also arbitrarily refuse service for say, making a "gay wedding cake"
How is this disconnect rationalized?