Retains its original name after taming. Remains larger than other caterpillars. He seems to vanish from Fox Grove at later quest phases, but can still be seen and aggroed from just outside Fox Grove if you stand right at the river's edge. Wait patiently and he'll pat down by the river.
Level scaling: In Shadowlands most NPCs will scale with the Hunter's level, within the constraints of their level range. Hunters can tame regular NPCs up to 2 levels higher than them, but can only tame elite NPCs of the hunter's level or below.