They're pets and they're alive! Why should they get destroyed when removed! :[ It's pet monster cruelty! So I think they should be an exception to the destroyed when removed rule.
Allow the Pet Accessories from Nonna to be Removable and Equipable on Other Equipment.
What Thunder-The-Bright said. Note that when you "buy pets" from Nonna, you actually are buying just the tickets for the pets. It's Bechamel that has all the pets and accessories to begin with, you just bring him the voucher to receive the associated items from him. When you're tired of the pet, you bring it back to him and he attaches it to the next Knight who has a ticket.
When Nonna first arrived, people noted the same problem. Eurydice quickly came in and (presumably via Nonna) explained the answer: when removing a Monster Pocket, the monster is released into the Clockworks. The monster itself remains unharmed.
Some people complained that this means you may later kill the monster you previously adopted while adventuring. I, personally, think it's one of the better population management strategies I've seen. The same thing goes on in real life.
nah, when the accessories are removed, bechamel adds them to his collection. don't worry, they won't be killed.