The difference being they're each subsets of a subset of the market. Nintendo, Sony, and Microsoft(Xbox) don't have a monopoly against each other in either mindshare or dollars spent for "console interactive entertainment". That is a subset of the wider "interactive entertainment" market which includes Steam, GOG, Epic Games Store, (and more) which is a subset of the wider "entertainment software" market which is itself a subset of the "software" market.
Whereas the App Store carries every kind of app under the sun (at least those App Review deemed worthy this week)
Don't like it.. you can buy an Android or Tizen
It's been discussed loads before, by lawyers. The Playstation store and even more Nintendo are exactly the same as the App Store. They hold control over their OWN devices and OS and stores in exactly the same way. Worse even as you can't even use web apps on them.