Oil is another lost soul. So much supply on the market that there is zero flight-to-quality bid. It's just an analog to the equity markets.
There is a .0001% chance that within one calendar year, the energy grid will go down for an extended period of time (say, a few weeks) because of sabotage, solar flares, geomagnetic field disturbance, or just plain old Satan. If that happens, I think CL demand will rise a good deal.
Otherwise, I stare at the small energy portion of my portfolio and whimper. Hehe! Dividends? Whoopdie f-ing do.