Dropping a freezing trap as a hunter, pulling a mob into it while attacking a second mob, the CCC will not trigger a trap timer.

It should. Could it have been out of combat log range? In that case there is no way for the addon to know.

Tested a few times now in and out of combat.
It never seems to trigger regardless of range.
I.e. I place a trap, pull a mob into the trap and keep it targeted the whole time, but as the trap triggers there's not any indication on the CCC bars.

Did you try it with the newest version? There have been some freezing trap related fixes.

Seems like it's working fine now!
Tested in and out of combat, with and without target selected and it's been triggering the timer consistently.