As you say.
There have been schemes promoted that allow the power supplier to turn the airconditioning off for short periods. The argument is that it won't be off for long enough to have a noticeable effect on the temperature.
I am high suspicious of such proposals because I can't see that they make any sense. An airconditioner that's been turned off for a bit will simply run for longer when it's turned back on, in order to get the temperature back down to its thermostatic set-point. So the net energy consumption would be almost unchanged (there's a second-order effect that leads to a slight reduction). Spread over an area, there will be essentialy no effect on the total load.
So I see such schemes as a way of introducing the infrastructure to allow mandatory domestic load-shedding. Your airconditioning will not be allowed to run on hot days!
Oh well, I have a highly ineffecient petrol generator I can use on such occasions (sine-wave output to keep the A/C happy). Shame about the CO2, noise and other pollution it produces.
Sylvia.