The concept is actually really interesting! Lots of puzzle potential here.
Making it "record the player's physical actions" instead of just the player's positions is a really interesting point.
The puzzles remind me of The Entropy Center, but here you manipulate the player directly, instead of physics objects, and the actions of one cycle must all be recorded in one go, so you gotta think of a cycle more as a whole timeline.
It would be nice to make timing things a bit easier, though, maybe adding a timeline would work? (like in video editors)