While far more anecdotal than scientific, place your hands on an air compressor head when it's being run in for the first time, as in half an hour of free-wheeling with the relief valve open. Then, try doing the same thing if it's been running for half an hour with a relief valve stuck shut, and "note" the difference in temperature. I would suspect the work being done is where the heat originates. Less load, less heat, and there's no gasoline or other petroleum fuel in this case.