He does feel that surge of violent desire, and maybe there's something satisfying about it, along with the way it fades off completely, then.

Ankh watches from where he's fallen to the ground, surprised at the sudden appearance of so many shadowy creatures. He sees the clock and makes an attempt at scrambling to his feet, but it doesn't work. He's lost more blood than he initially realised, and it's hard to move. All he manages is to pull himself a little closer before he collapses onto the ground again.

So he's going to die, after all. He doesn't even have the energy to tell the shadowy figure to come back and leave the clock before it disappears with it, not that it would have done any good, anyway. His death is slower than Sebastian's, but in the end, just as inevitable.