I think it is obvious that turning off the a/c reduces the current draw on the campground supply. However, most people aren't doing that, even if the voltage goes dangerously low.
The power draw of the a/c compressor is the same regardless of voltage. If it needs 1500 watts to function, it will draw 1500 watts no matter what. For any given appliance, we can assume for simplicity's sake that power (watts) = voltage x amps, so it is evident that reduced voltage causes an increase in amps in order to keep the power constant. The autoformer's output has to be 1500 watts to run the a/c, and it requires an input of 1500 watts (plus any overhead due to conversion inefficiency) to do so. For example, if the input is 100V x 15A and the autoformer has a 10% voltage boost, the output is 110V x 13.6V. It doesn't require any more power (except for inefficiency) to run the a/c than if it were not used at all. If there was no autoformer, the a/c would still be drawing 1500 watts or 15A @100V. No magic and no free lunch, but your equipment is protected from the overheating that results from very low voltage.
Call me selfish, but I don't see any reason why I should turn off my a/c to enable somebody else in the park to have enough voltage to run their a/c without risk of overheating. Are they more entitled than I? As John says, there is an implied covenant when you rent a site with 30A or 50A electric and you are entitled to use the power you paid for.