OK, I'm taking this to extremes, so shoot me down when you spot the flaws.
If you had a long enough length of a very elastic line, and assuming you could make the back cast somehow, it is possible you could complete the full forward cast and only have partly stretched the line so that the point of the line would not have started moving forward at all.
Once you had completed the forward cast, the tension on the line would be released but the biggest mass of the line would be behind you. At this juncture the elastic would contract and the main mass of the line would pull the loop backwards.
Therefore if you want to transfer the acceleration of the rod tip to the main mass of the line, which is 30' -60' behind you, you are better off with little or no stretch in the line.
So much for the theory. Bring on the tablets of stone Magnus
Irvine