Death hawks, unline mohawks & liberty spikes, are more commonly associated with Gothic or Industrial music instead of Punk or Alternative.
"You dumbshit, that's not a mohawk, that's a Death Hawk!"
"Whoops, my bad."
The death-hawk is typically dyed black and backcombed/teased rather than combed straight up as in the punk mohawk.
Generally worn by fans of music like Deathrock (a darker variation of punk), Goth, Post-Punk and Horror Punk.