"...or he did not know that you have to
point the mast into the wind to right it."
What is most effective for me is having the leading edge of the mast pointed into the wind (i.e., bows to the wind). Once the wind is flowing over the sail, even with the boat on its side, lift is generated (unlike an orientation with the top of the stick pointed at the wind.)
Weighing in at a little over 200, I have successfully been able to right my N6.0 in winds of 15-20 knots. The first time it happened it was not due to singlehanding the boat, but rather the mistake of my crew who let go of the boat while on the windward side. Trust me. A capsized cat can blow away quicker than most can swim. On another occasion I was sailing with my son, who was eight at the time. The forecast had been for 5-10 knots, but a cold front came in stronger than anticipated, with highly variable winds and gusts well in excess of 20 knots. We got caught off-guard when one of the puffs hit. (I was trying to explain something and it took us totally by surprise.) We went from flat to knocked down in an instant. With my son on the hull, I swam the bows to the wind. In this case, since the winds weren't steady, it was coming up pretty slowly once I leaned into the righting line. I told my 50 lb son to climb out along my horizontal body and sit on my chest. That did the trick. She came up quickly once a puff flowed under the sail.