There's nothing that says it stops being a humanoid corpse. So it depends if your DM thinks an object can count as more than one thing at a time.
I personally rule on a case by case basis, but generally find letting a necromancer repeatedly raise the same corpse to be good for roleplay. The player gets attached, names them, and feels sad when things happen to their favorite skeletons.
For example, I had one player that animated the body of his dead brother. It was a fairly straightforward revenge story, but he went out of his way to care for the skeleton, and would make special effort to sneak it into places or put himself in danger to recover the remains whenever it fell in combat.