A bit drunk still but bare with me, thermistors work based on resistance right? So the higher the temperature, the lower the resistance in the sensor/sender, the more amperage gets through, the higher the reading, correct? So for you to be seeing an increased reading under system voltage with the engine on, vs battery voltage with the engine off, means there must either be either more resistance in the sensor with the engine off or more voltage with the engine on. Since the answer to that question is obvious, what does that leave you with? It sounds like a simple problem, the gauges only read correctly when using system voltage, but you're right, they should be built/programmed to display correctly whether the engine is on or off. One possibility is perhaps they are only meant to display correctly under system voltage? In leu of that, is it possible your gauges' regulation system is malfunctioning? If this happened on both gauges at the same time this seems unlikely. The acceleration thing puzzles me too, as I don't believe an alternator loses any efficiency the faster is spins, voltage is constantly regulated to ~14.4 volts. Here's what I would do, check the system voltage when the engine is off, on, and revved to say 3K, get hard figures for those three conditions and then get back to us. It may spark an idea, FWIW, that's all I'm trying to do right now. Whatever you do, don't let out any magic smoke