Maybe if wind direction was strong cross shore as you said, probably the wave it shoudn't be the same.
My point is why hassle around with a kite when these spots are perfect for surfing . Also even surfers doesn't have room for nothing less than tube riding when this waves get significant height, so trying to emulate surfers with a kite is pointless . It all reduces to hurry up down the line trying the foamball not to eat me and not catching the lines with the falling lip
It is as stupid as trying to kite pipeline , it will look horrible
It's another history with windsurfing, they have a great advantage over us in big waves and lightwinds, their bigger plannig surfaces to catch the waves and the apparent wind created going down at speed plus not in constant need of keeping the lines titght, allows them awsome rides in big waves as the one shown by Polakow in cloudbreak. It's a matter of physical laws