You shouldn't need to cull him just for that. He will likely lose most of the comb once the tissue dies and falls off but that's nature's way of dubbing large combed birds.because all four of my roosters have frostbite. One is so severe I believe I may have to cull him; It's down halfway into the meaty part of his comb.
(Yes, my coop is ventilated up high, no drafts, temps have been down to -16-F)
He'll probably lose some of his wattles too since you can see damage there.