I really like this idea a lot.
It shouldn’t be too hard to build for an architect and would have great value.
I also suggest adding a “complete this look” button wherein you could buy the whole set with the cheapest bazaar listing and it would equip it automatically (if you have some of the pieces in your inventory then it wouldn’t buy that particular item). Also allowing to buy one item at a time would be great and would auto buy the lowest listed one.
It would give new players a great way to easily dress their gotchis and make purchases without having to navigate out of the ecosystem onto the wiki etc.
Another great feature would be to include the known wearable sets that give bonuses. You could easily pop on sushi master set and set your gotchi with the bonuses.
One more feature comes to mind: optimise gear. User could set their maximum budget or rarity and then the wardrobe would spit out the best combination for them.