I think the electric companies have a pretty good point that they still have to pay to maintain lines to your house even though you are now consuming a fraction of what you would have.
I don't know about Oklahoma, but my bill is split into two parts: a fixed per-day customer charge, plus a separate charge per kWh. Presumably, the charge per day covers the lines and administrative overhead. (The per-kWh charge is further divided into separate fuel and generation charges, and the fuel rate changes frequently.)
If Oklahoma uses this system, then the utility is being fairly compensated for the power lines no matter how little electricity the customer actually buys.