I find it useful to think of this shape as separate (but ofc derived from) the tiger’s mouth, because it’s quite a common structure that occurs naturally following good play in many contact positions (not surrounded by empty space, obviously).
I call it the crocodile’s mouth Crocodiles Mouth at Sensei's Library
I’ve toyed with naming a jug shape when there’s an extra black stone at 2-4, and a vase when there’s instead an extra one at 5-4 (making a sort of enhanced bamboo joint).