What is the difference from the ridder side? (e.g. board behavior).
Lets try, cause it is difficult question.
The sharper edge gives you more power over the kite, you can edge harder for example, therefore it is easier to slow down the kite.
The sharper edge ketches more, (I hope tht this is the right word) that means, the board will be more difficult to turn around.
So the softer edges make more fun for surfing style.
As for jumping it is more a matter of technik, also the size and amount of fins will play an important role. Bigger fins, stronger load, bigger jump, but if you have lots of speed, not so big fins are needed.
A guest said, sharper edges are the future, well I just read in the german Kite Magazin, that very sharp edges were the "future" last year, this year softer edges could make the run.
Hope it helped, Sylt Rider