That's what a video game console is, technically speaking. It's a completely locked down environment which is curated tightly.
> but open yourself up to any competition and your behavior becomes anticompetitive.
That's called the antitrust investigation into Microsoft Windows; or the complaints about Apple's "sherlocking."
Edit: I'm actually OK with this, even legally, because I view devices as being means to an end for an experience, which is also how I think most consumers view devices. When viewed that way, we really have three major "buckets" of devices if you will: "Computers", "Gaming", "Phones".
The "Computers" market is a race in most minds between Windows and Mac (and thus Windows gets hit with antitrust investigations). The "Phones" market is once again a 2-cart race between Android and iPhone (and this time, Android gets the antitrust investigations). The "Games" market is a 4-cart race between 3 console manufacturers and the PC, with 2 additional smaller carts called Cloud Gaming and the Smartphone (which, themselves have 3 and 2 carts respectively) - thus, no interest in investigating anyone there. However, if gaming didn't exist on the PC and was strictly Sony v. Nintendo, it would totally be investigated.
And they get away with it because Apple isn't competing with anyone within their own ecosystem; it's not a market.
Really is a neat little bit of lawyering, iOS and all apps within aren't competing with each other hence the rule about too many apps with similar features, they're competing as a unit with other computing platforms.