The irony here is that by taking more intrusive permissions, they can accidentally do more damage and open up more exploit vectors, for which they'd want to ship an emergency patch, as we see here.
They could use feature flags for the majority of slow roll updates. This would also mitigate the absence of a downgrade mechanism because you can just disable the feature flags. To be fair, I would love to see the App Store feature these types of mechanisms, but Google should request from and/or work with Apple here, not hack around them.