Does a high voltage electrostatic precipitator power supply provide a balanced or unbalanced output?
Joshua Guertler -

Please stop messing around with this stuff. You are going to get someone hurt. Why do I say this? Because your questions indicate that you have no idea what you are talking about.

Does a high voltage electrostatic precipitator power supply create a balanced or unbalanced electrical output in relation to the primary side/ground? 

No. Or rather, maybe. But in light of the rest of your question, no.

Also, here is a schematic for the power supply:

And again, no. That is not remotely the power supply for the unit you linked.

So, you don't understand what balanced or unbalanced means, and you don't realize that the schematic cannot possibly apply to the eBay unit you linked to. (Or maybe you do, since in your previous question you referred to the schematic as being "generic". But in that case it cannot be "the power supply". Either way you are hopelessly confused.) Marcus Miller obliquely pointed this out in comment, but it apparently passed you by.

It's perfectly possible to make a HV supply which is either balanced or unbalanced, it's just that there is no reason to think that either term applies to the unit under consideration.

Please find somebody who has a clue about this stuff and take his or her advice. I'm afraid you're going to hurt yourself or someone else.