No one would suspect anything from me either. I don't mess with anything, I just redo my tests, tell my past me about it (leaving a note or something) and be done with it
Well with this specific device, the past you is still there. So, you would have to be absent for a test and future you would have to step in. But that wouldn't really work with your logic.
Why not? Past me goes somewhere to twiddle their thumbs or learns extensively (If I were to write a note with the topics that were asked) while future me takes the test or chill arounf. As long as both mes' know what's going on, we could make it work