So how would the difference be reflected in gold and game terms?
You have a Privatized Energy System: a power plant would not only provide power and

but also, as a result of privatization: + gold (as you're taxing their profits) but

as they would tend towards being unfair and + :unhealth: as they would operate with less care, trying to get around safety regulations for greater profits. It might also be a little less effective if we could find a metric for that. And it would be more susceptible to crime thus +% maintenance perhaps.
Then, on a Socialized Energy System, run by the community as opposed to the government or private enterprise (non-profit co-ops as it were): you'd have no gold intake or loss by the government as profits wouldn't be taxed but given back to the people of the community. You'd have

as people feel it puts them in control and no additional health benefits or penalties though lower crime susceptibility.
On a Nationalized System then we'd see: -gold%, as the government maintains its costs and is expected to pay for that out of taxes rather than the people paying an energy bill directly. You'd have +

due to the fact that the government will consider its controls of the highest priority so as to lessen its overall woes. It would not be happier or unhappier as the people's ability to ignore the bill may come at a slightly higher tax cost and the feeling that control is less in their grasp. It would be much less susceptible to crime as there's nothing there to really exploit except the government itself which is quite good at self monitoring for corruption.
hmm... good considerations there. I'm thinking there may even be more options than just these three.