Except that you don’t know and can’t prove (at least, you haven’t proved) that time “allows” change. We don’t know which direction, if any, the dependency flows. It would be like claiming space “allows” location, when the two may, in fact, be the same thing depending upon how you are deciding to view the relationship.
In other words, the dependency may merely be relative to you as an observer attempting to explain how you see things, but, in reality, time and change, space and location, may not even permit any kind of discrete separation between them. Time may simply be change and space may simply be something like “locatability.”