Comment by Zak

I think it's important to draw a distinction between OS providers and app store providers here. The fact that they're the same entity in most cases is or should be largely irrelevant.

OS vendors shouldn't make it impossible to create apps that have unlimited access to the filesystem or that suck battery in the background. There are reasons users might want to run apps that do either or both - a file indexer, for example. All the OS should do is ask the user if the app has permission to do those things.

An app store provider on the other hand might reasonably have many criteria for inclusion, such as F-Droid only allowing FOSS. This only becomes problematic when the app store in question is effectively a monopoly.