Having a separate inventory for each type of equipment would be nice, but I imagine that it'd be even more complicated than to adjust macros and add a new inventory type using the new macro function. If that's the only way this could work though, it'd be just as fine in the long run.
The main idea I had was that you could use /equip1 and /equip2 for the Gobbie Bag and Gob Sack respectively, for the sake of simplicity. That would be another increase of 80 inventory slots, which I know a lot of people wouldn't mind having. Changing macros to work like this but for the Mog Satchel and Sack would be just as good, utilizing /equip2 and /equip3. If it could work, it'd be an easy adjustment to any existing macros and allow for better preparation in terms of what you can equip during battle.