It would still be easier to right Mary.

when the boat is on its side the equation is simple. your weight trying to right the boat vs the weight of the rig. Reducing the size of the sail probably does not make that much difference when dry, but a wet sail weighs a lot more. even if its just surface tension.

the further away from the balance point you go the more leverage you have. A taller rig will weigh more than a shorter one even if they are the same weigh on dry land.

I have thought about a storm rig many times and the one thing that stops me is that if you need a small sail to be able to go out then its too windy and should not be on the water anyway.