In my dojo, we alter the technique depending on the situation; kote-gaeshi has been practiced where I train against knife attacks in conjunction with other techniques and atemi, and when a knife is involved, there is never a leading-uke motion, it's always done by distancing uke's hand from his body and, I suppose, applying the throw by simply twisting his wrist outwards and downwards to unbalance him, though we often use some small movements in the back leg to break his balance further. When no knife is used, we usually use the more textbook, flashy, impressive method
