GetResumed() is an extremely simple function that checks for some flag set in the AppGameKit core. It has no affect on CPU usage that would ever be noticed.
Certainly there is no difference when the app is minimized versus not minimized. Since the same loop is running in both cases.
Android apps, when sent to the background, should't use any CPU (or no more than any other) as they are not running (unless you are using features that stay active while in the background, and AppGameKit doesn't have anything natively that does that).
I believe the CPU usage you are reporting in v1076 is a known bug and reported as fixed for v1088.
How are you checking CPU usage on your Android devices?
Cheers,
Ancient Lady
AGK Community Tester and AppGameKit Master