I think you have that back to front Berny, we always jibe the kite downwind (although we have tacked the kite when sailing very high with it in very light conditions) and dropping the traveller IS more stable than dropping the mainsheet when the kite is up. And the size of the kite and its take off point on the mast, means that you still have a lot of support when dropping either the main or the traveller when the kite is set on your cat.