I think this would be a great final chase music for Alice rather than Marzia, mainly because the name "hunting beast" describes Alice's mechanic better than Marzia's mechanic, where Alice bursts out from behind nearby doors and attacks you while Marzia is just stuck behind doors with no hands.
Like, Alice would chase you through all of the of the level with the giant lift not working from the top floor. You would be forced to take stairs down one floor at a time, each on separate sides of each floor (the one that goes up is on one side while the one that goes down is on the other side, these only unlock for you after the last notebook). While you run through each of the floors, Alice would sometimes teleport to nearby doors and sometimes doors that are ahead of you to force you to change your route to get to the stairs using a different path. You have to go from the top floor to the first floor with the elevator (of course, by each floor I mean each area the big lift can bring you to on the History Level).