There’s no restriction on the temp you can run a class 2 at, it’s just a bit shorter than a class 1 and usually only has one fan instead of two blowing freezing cold air at you. Have done plenty of -22’c jobs in class 2’s and its a lot nicer than walking all the way to the end of an artic on blast freezer mode.
Class 2 (C) only refers to it not bending at the front end and being over 7.5T. If the back bit comes away its a class 1 (technically C+E).