I think we need to get this 'uke assistance' thing clarified. The way I see it, if you're jumping without uke's assistance, you should be able to do the jump without any contact with uke whatsoever, as if uke was never even there. That's kinda the point of the 'with uke assistance' to me - using uke in any way that you can, whether that means moving both characters and/or using their limbs to boost your height by throwing them downwards.
Don't get me wrong, it's a good replay, but yeah, little bit controversial eh?