I could see it aiding when something with a large drain comes on, like the heater coil, fan, or heated seats. I know in mine if I have the radio up, headlights on, seats on, and turn on the actual heat the engine has to increase RPMs for a little bit to compensate for the increase in load
That could be fixed with a capacitor though, which it sounds like a "voltage stabilizer" is just a glorified term for anyways