There is no iOS app store market because Apple has leveraged their position to prevent alternatives.
The alternative is the Google Play Store, or indeed a number of other stores, all available on Android. Apple are under no obligation, legal or moral, to allow another App Store on iOS. You may want one, you may argue for one, but none of that changes the fact there is no legal requirement to have or allow one. Period.
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Apple doesn’t own the IP for non-Apple apps. The person who developed the app owns the IP.
The IP I'm referring to is iOS. But you surely knew that.