Actually it is not the first time I have heard someone talk about moisture from burning gas. Natural gas (and Propane) have a percentage of moisture that is released during the burning process. Thus if you have a tight house then it could build up. With the heat exchanger and a tight house you will never add more moisture as you are not "adding" any more volume to the home just recycling.
The exhaust from LP/Nat Gas is CO2 & H20 - along with CO and some other byproducts I don't know off the top of my head.
My understanding is that a furnace is suppsed to vent those gasses outside - not into the house (otherwise you'd get poisoned even by the CO2). From what I've been told by HVAC and Home remodelers/builders is that MOST of the moisture in homes comes from:
A. "Tight" home without adequate and regular air exchange - it's said an adult human will give off about a gallon of water a day just by breathing.
B. Improperly vented bathroom
C. Whole house humidifier set too high
D. Dryer venting into home instead of out.
I've also heard of cases where there is improper insulation in the roof so snow melts and with poor drainage/bad gutters getting water leaking in down the inside of walls... FUN! (not)
RE: 'sticking it to the man'... Yeah, it's a little impractical but there are some pretty good incentives in this area for PV systems. Some people are suggesting you can get 50% of a system paid for...Although those people were installers of systems. Hmm...
To me, I would be willing to pay quite a bit to be able to 'unplug'. Ya know?