I have found in iPadOS that if you tap on a pet to open the pet window and immediately close it, they will start picking up again. Sometimes it takes doing this twice. They seem to stop picking up after a sorcery fragment is dropped. I reported pet issue just before last patch along with "Authentication KEY does not match" and a few other things like auto play getting disabled in Black Spirit Mode, got a response back saying they should be fixed with the update but haven't seen any fix yet.