We don't need a bunch of variations on a solution that's just performing a meaningless action in various places, so if minimized solutions can skip actions that weren't used (and actions that aren't necessary to win), then we would cut down the list of solutions to those that only use necessary actions (alas, likely including some meaningless uses).
This probably won't wind up being all that useful, and there are rare cases where we would probably want to change which version of an action we perform in a minimized route.
We don't need a bunch of variations on a solution that's just performing a meaningless action in various places, so if minimized solutions can skip actions that weren't used (and actions that aren't necessary to win), then we would cut down the list of solutions to those that only use necessary actions (alas, likely including some meaningless uses).