Sometimes when you die and store a mutant at the same time, the game will let you move during cutscenes until you reset the console. Other side effects include pausing during loading screens, moving during loading screens, late cutscenes, out of place cameras (to fix the camera just falloff with a mutant, you will keep the main bug).

Carrying the glitch over to a new game is not going to be allowed, but the glitch in general will be. The loadless timing will have to be adjusted for this glitch in particular, but only once a run with this tech in use will be submitted.