This has been driving me insane for a while and I've finally figured out how to frame the problem.
If I want a time re-mapped video to loop every second I need to set a keyframe at 0:00 and at 1:00. The problem this presents is that at 1:00 it will still show the value of that last keyframe when I really want it at that moment to reset and start over at 0:00. Strangely this setup doesn't do what I want for the first loop but does work for all the ones after. So my thought was I would make the loop end at 0:29 (in flat 30fps) and that way the next frame, 1:00 would be the reset. This works for the first loop, but throws off all the other loops since they are now compounding 29 frames instead of 1 full second.
I can't seem to get a loop that loops every second including the first loop.
I feel like there's got to be a simple solution to what must be a common problem.