[danpalmer]

I'm not sure if Apple does, but the Play Store provides plenty of information about size of app, size relative to similar apps, size change over time, installation rates, and basically all the pieces necessary to figure out that size is preventing installs. I have to be careful about what I say here given my role, and this is all opinion or public information, but I'm not sure that Apple's telemetry is particularly insightful in this regard.

In my experience publishing on the Apple App Store, and as a user of iOS, there's likely no material difference between iOS and Android with storage issues, or if there is it's probably in Android's favour with the (mostly historical) availability of expandable storage and Google Photos providing a lot more off-device photo storage.