Android updated its permission system after iOS. You had to agree to all the permissions an app needed before installing it but they changed it to be progressive like iOS and I think it's more flexible than iOS now. For example, my phone has the ability to disable network permission for single apps like wifi, vpn, data, etc from settings.

> Is there any reason to think users care about it enough to switch based solely on this feature?

People buying flagship android phones definitely. They cost as much as iphones. Others, I am not sure.