100 years from now the conversation will be about how back in the day we didn't know all of the ways time, space and quantum mechanics worked and we thought it was just a coincidence or some psychological brain function that has a highly tuned timer.
If there was some kind of backwards-time effect going on, then you would expect the experience of waking up just before unexpected interruptions to be just as common as waking up before scheduled interruptions (alarms). Personally I have a lot of experiences of waking up right before an alarm that was scheduled at a time I knew and not as many experiences of waking up right before something unscheduled.
