Pets can be unequipped, but it says they reset to 1 heart and food will be refunded. Is this a perfectly safe thing to do, or is anything lost? Is the full food amount refunded? What about skill levels and pet equipment?
I have a few purple pets that I'm just sitting on, because I didn't find the time to study them and find the ideal characters for them. But if I could freely juggle them between my teams, I would definitely start doing that.