you are correct since technically any amount of movement without time would yield an infinite velocity, breaking any logical theory. However, not all quantum mechanics would collapse, though many factors considered standard would. For instance, Causality constraints would be entirely broken under the Copenhagen and pilot-wave theories, while the many worlds theory would say that any reflection of restraint via a constant would be negligible at best and entirely random, which in itself fails to constitute the ideas of true entanglement properly.