I recently got a Balance Armaments from the hatch kiosk. What I didn't realize is that its untradeable, which sucks because my fire wizard trained the pet for my balance wizard. Its not fair because the kiosk didn't mention that pet was untradeable.
Yeah the new Spring 2020 update has included pets that you can use to cast spells rather than cast spells on their accord. I tried playing up to level five with a new secondary Ice wizard so I could transfer the pet over to my main Ice wizard and delete the account but you can't even transfer these pets over the same account using the shareable bank.
I had no idea there were ANY no-trade pets, unless there was a jewel that needed removing.