In a tennis serve the rapidly changing forearm to racket angle produces a significant component of racket head speed from forceful ISR. The elbow angle becomes near straight a short time before impact, see high speed videos.
For the football throw or ball throw - without a racket - the rapidly changing elbow angle produces a significant component of football or tennis ball speed from forceful ISR.
The video frame of Dougherty's student throwing the tennis ball up shows a double exposure where the rapidly moving forearm appears separated. High speed video is necessary to properly study the rapid motion of ISR but the girl's double exposed frame happened to catch the very rapidly changing elbow angle. (Double exposures may result from interlaced video recording or other artifact. If interlaced video, the time between exposures would be 17 milliseconds, a reasonable time for that forearm movement.)
The video below is excellent but the forward motion of the hand & football produced by ISR is toward the camera and appears slower than it would from the side view. The final ISR after release may be simply a follow through or have some purpose, spin?, at release.
The function of the ISR for the tennis serve appears to be well simulated by the girl's throw. For the football pass....?
I don't know how football or tennis
ball release relates to a tennis serve.
Throwing Tennis Rackets. I think that you can throw a tennis racket with ISR or as you would a tomahawk, end over end. I still have questions about simulating ISR unless it is verified by high speed video that the racket throwing involves ISR. For something to be a worthwhile serve training technique it does not have to simulate ISR. But what the training technique is doing should be explained.