Once upon a time, there was a certain large and innovative American technology company. It invented incredible hardware devices, which it sold to end users. Each device was programmed to connect to this company's network, and to access services provided by this company.
A large and growing ecosystem of applications and services grew around the network which this American company controlled, and the network became central to the American economy [1].
Other businesses had to connect to this company's network, so that they could reach the company's many end users. But the company jealously guarded its end users, inflicting onerous burdens on competitors, or disconnecting them entirely [2].
That company, the American Telephone and Telegraph company, was eventually dissolved by the US Department of Justice due to charges filed under the Sherman Antitrust Act [3].
Anyway, what were we talking about? Oh, right, there aren't any historical analogs to the App Store. Apple is a bastion of innovation and an important defender of privacy rights, and I can't imagine that its management would ever recklessly endanger that by running afoul of antitrust law.
[1] https://en.wikipedia.org/wiki/Carterfone
[2] https://scholar.google.com/scholar_case?case=107525656002865...
[3] https://en.wikipedia.org/wiki/United_States_v._AT%26T