It takes longer for the Mog Garden to load than the standard Rent-a-Room, and the standard Mog House functionality is closer to the top when speaking with the Moogle.

That said, I'd be in favor of being able to select Mog Garden as your default "homestead" when in Adoulin.

Hey, remember when we had to speak to an NPC in a foreign nation before you could use the Rent-a-Room? That really sucked...