Father Time said:
No it does not. It protects you from government censorship. Meaning if you wanted to swear a lot the government couldn't do anything about it (except for radio and TV, thanks to a really bad court decision). But if someone wanted to kick you off their (private) property for swearing they could do so.
Which is a perfect analogy for what's happening here. Google is removing the game from their phones. If the makers wanted to publish their game on their own website Google or the government couldn't do anything about it.
Well that's all well and good but this isn't just one person's property this is a store providing a service for MILLIONS of phones.
The 1st Amendment was written to hold the POWERFUL to account, and that I think would today include companies who control large portions of the distribution. Even though in application it is almost always against the government.
I know there is no de-jure justification, but the spirit is there. I don't know if people on android phones can go to an alternate store to get this game but it seems to be from the way that phones are locked down that one company can censor millions.
I fully appreciate Google having discretion with the content of their store (if not their hypocrisy) but only if they allow an alternative store. In real life you can go to an "alternative" store if one has a certain image to cultivate.