The android client is outside of my expertise, but broadly speaking, I think this is a bad idea. It’s not appropriate for OpenMRS (centrally) to collect this detailed a level of data from implementations.
The OpenMRS software is open source, but data captured with it is very private. You will note that on the Atlas module in the reference application, where we try to get installations to automatically upload some stats we have been very conservative.
What you are proposing goes a lot further with centralized data sharing, and although it’s not patient-identifiable data, I don’t think it’s appropriate to capture/share it.
Now, what would be cool is gathering more specific usage data in a way that centralizes it on the OpenMRS server, for the implementation to use as they see fit.