One is the current problem, where a half-resolution screenshot is in an Uncanny Valley between looking (a) like the actual app or (b) obviously different from the actual app. It ends up looking like a display bug.
If you go for (b), though, you risk a new problem, which is making the phone seem slower than it would seem otherwise. If you see a desaturated screenshot with a spinner just for a couple of seconds, the mere fact that you saw a spinner at all will give you a memory of having had to wait, whereas you might have forgotten one or two taps that did nothing because you were tapping on a screenshot.
One way of reducing this would be to give the app a couple of seconds to resume, then desaturate only if it hasn't. Then give it another couple of seconds to resume, and put up a spinner only if it still hasn't.
There are two problems to avoid here.
One is the current problem, where a half-resolution screenshot is in an Uncanny Valley between looking (a) like the actual app or (b) obviously different from the actual app. It ends up looking like a display bug.
If you go for (b), though, you risk a new problem, which is making the phone seem slower than it would seem otherwise. If you see a desaturated screenshot with a spinner just for a couple of seconds, the mere fact that you saw a spinner at all will give you a memory of having had to wait, whereas you might have forgotten one or two taps that did nothing because you were tapping on a screenshot.
One way of reducing this would be to give the app a couple of seconds to resume, then desaturate only if it hasn't. Then give it another couple of seconds to resume, and put up a spinner only if it still hasn't.