dave1986 answered it well IMO.
Except one thing, single skin kites (as t.ex the Peak) in big sizes does not have any powerspike at all...
Thats their achilles heel, and why the small ones are amazing both fun and a lot more power than their size.
Whereas in the bigger ones for close to UL wind, they lose all the appeal in terms of power.
They also turn slow, eventhough they are light - but all powerful kites in these sizes, single or doubleskin, turn slow - only light semibig LEIs turn well, but they can not hang in this wind.
So big singleskin kites for UL wind is not gonna happen, but close to UL wind, they have some advantages:
Can hang longer than everything else, so if wind drops you can get safe ashore without dropping it.
Super easy to fly and handle.
Packs down really easy and fast.
Low cost.
But besides that, no advantages so a more fragile superlight doubleskin kite kite will have way better low end, but a lot more costly and can be difficult.
I have ridden a big high aspect single skin kite like Born RS+, it turns even slower, but had okay peak power.
Not nearly as much peak power like a low drag double skin kite though.
Peter