From a wrestlers point of view:
I think shaking hands is the best way to end any match win or lose. Either way it still shows both coaches and wrestlers that mutual respect for one another. If I'm on the winning side I try my best to show gratitude and humility towards the other coach. If I'm on the losing side shaking hands gives me that "ten seconds" to breathe and cool down before I runoff and get mad. And many times taking the time to go shake hands has been the only thing that kept me from losing my head. I'm grateful for the handshake rule and think it's great for sportsmanship and upholding a small amount of integrity and respect.