Huh, good question. no I don't believe they take external damage, and sorry I don't recall a time where I've frozen an enemy and had back up.
HA I'm failing here, Oblivion is stuck on my mind with a Magic mod where frozen enemies don't take damage sorrex
The mindset that I can't hurt them and that they take DOT while frozen obscured my thoughts, sorry. I usually freeze them and go off somewhere else.