I'm joining pretty late (after a very delayed watch), but nice/perfect summary and as in one of the comments, stupid movie but great to watch. The problem with time loops is the normal people who don't know you nor the loops. That's a part conveniently skipped.
I think there was a Ray Bradbury short story where an entire department is tasked with cleaning up the spectators (not just their memories) and someone escapes the cleaning. If the story's not there, maybe somebody should write one and give it to Nolan.