TBH, I didn't really look into the thermal variations of dark frame, so I'm afraid I cannot answer.
For raw video, on 5D3 at least (but not on 5D2), you can set the exposure time to 0, capturing bias frames every now and then (for example, one bias frame every 10 regular frames or whatever). It's not implemented in menus; if there is interest in exploring this feature, I can look into it.