However reading saying throws, there is no requirement to make the save. The spell says you CAN make a save, not that you must.Seems pretty clear to me. A save is required. For speed of play a DM might wave it if it did not impact play, but since it will impact play it must be made.
Combine that with the clause under saving throws in general that says saves are only used when there is the risk of harm, it seems very reasonable that no save would be made in this case