Medipak has found the bandaids; your argument is now invalid.
a year or longer ago when someone i knew passed an emergency care course i drew them a first-aid leupak with pockets mutation for holding items it couldn’t grow, bandage skin with extensions on its ears and tail that grew like giant floppy fingernails but were made from bandage cloth thus providing a regrowing source of bandages, i think maybe the rest of its skin grew and flaked too at a lesser rate or could be peeled away in thin layers occasonally like weird wool, can’t remember. it also had retractable hollow claws on its front paws leading to secretion/fluid filled pouches further up its forelegs that did various medical things when injected into people, and venom that was somehow medically themed/appropriate. i forget its facet power and its back doubled as a stretcher.
being awesome they thanked me profusely after i explained what a leupak was and it now rides around taped to the inside of a medical journal they own. =] wish i’d thought of a tail like yours has, though.