Linked Inventory forced the CanPickUpLoot value to 1 for it effect to work but does not restore it back to what it had originally when the enchanted collar is removed from the mob; potentially causing the mob to start voiding items if the tamed creature it was attached does not have a accessible/native inventory (most noticeably with doggy talents next)

Bonus suggestion, holding shift should show a bed icon next if they have a re-spawn bed set