Ooooh, but still. Would you just not get a gift or get a "replacement santa"?
Everyone who properly turns in gifts will receive gifts. Anyone who fails to meet standards and turn in gifts on time will be removed (any items originally meant for them will be redistributed to others who participated as they should).
If you turned in gifts and received a Secret Santa hat from me, then you are a proper participant who will definitely receive gifts.
Example situation:
Person A is Secret Santa for Person B
Person C is Secret Santa for Person A
Person B is Secret Santa for Person C
Person A turns in their gifts for Person B
Person C does not turn in their gifts for Person A
Person B turns in their gifts for Person C
In this situation the following happens:
Person A and Person B receive participation prizes (secret santa hats)
Person C does not receive a participation Prize
Person C does not receive their gifts from Person B
Person A receives gifts originally meant for Person C
Everyone who participates gets a prize, all nonparticipants are removed.