I use the base ball annolgy to demonstrate the difference between a wrist flick, say from short stop to first base, and a throw from out field to home plate, I compare that to a 30 ft (or less) cast with a small fly to 75+ ft cast with a big fly.
In order to obtain that length of stroke, you have to side arm. the back cast anyway. Besides, your loop appears
much tighter to some one else who is off to the side watchiing you.