There is a sword for that that can’t be matched. It’s bis for everything cold 2handed. And I have already made 2h cold Blade Arc build based on that sword.
Please, no, two different damage types, one is dot, another one is direct one, different devotions, different itemization. And Bleed already has Guillotine, Gutripper and Rancor. All while physical 2handers got basically nothing except still bad Avenger.