For a Potion shelf that needs a House die roll, does a Creature die count, and does a die rolled by a Villain or Dark Arts event count?

Question

Accepted Answer

Neither the Creature die nor a die rolled because a Villain or Dark Arts event says so counts, since the Hero whose turn it is must roll the die. Arithmancy can still re-roll any die, including the Creature die.

Harry Potter: Hogwarts Battle

For a Potion shelf that needs a House die roll, does a Creature die count, and does a die rolled by a Villain or Dark Arts event count?