The idea of a party system as a support magic isn't something I think I've seen before. Sort of a meta-support ability / magic.
The closest to another type of magic in the same category might just be something like item sorting for those with hammer spaces, or menu systems like in Death March. Those are different with practical effects for the most part. Some of the effects of Death March's menu system would fall into the same meta-support category, but since it is considered a single ability in itself, it can't be classified as the same.