Very few. From my experience, most of the people in those local positions run them like they are their little fiefdoms.
Its voluntary. It's a royal pain in the ass. And they have no connection to $ at all unless it's SAISD you are talking about. And then they end up in jail once the audits occur. What school district are you referring to?

They seriously have little to no power over day to day events. The help oversee long range planning, that is their major function.