I'm wondering how the zapper works for 2 things.
Can the zapper raise a pet's stats beyond the max capacity for their current level? For example if my pet's maximum strength stat for the current level is 30, and their strength is already at 30, can the zapper add a point and make it 31 strength?
Can the zapper zap "Not Tradeable" status items, like a loyalty box or an armored egg? Since you can't put them in your vault to keep them safe, are they immune from getting zapped, or do they have to be locked to be safe from getting zapped?
as far as i know, yes. level only limits how far you can raise a pet's stats in the training center. using experience, boosters, random events, oracle rewards, scratch cards, and other methods don't pay attention to level.
no, the zapper cannot zap not tradeable or custom wearable items, even if they are not locked. if by some glitch this were to occur (which it almost definitely wouldn't but hey, weird glitches happen), you could file a ticket to have a user admin restore the item(s).