Here is how I see myself using the wardrobe:
Placing non-storable gear that can be used by multiple jobs in it.

It will be extremely convenient when changing jobs to simply grab one or two storage slips, go to the moogle, grab my job specific gear, and not have to worry about having things like my hermes sandals, berserker's torque, elemental belts, etc in my inventory.

I'm also very much looking forward to (hopefully) using the mog safe and locker literally as storage- a place to put things I don't intend on using for a while (like trial items, rare crafting mats, etc).

Cautiously optimistic that this system will alleviate a lot of storage woes (still waiting on those 99 stacks )