@NooneOfConsequence I read the math .
You talk about millisec you would be right if we where talking about a changing environment and conscious effort.
The mind can predict the movement of an object pretty accurately but we are throwing and not receiving (like a baseball batter would)
when throwing you consciously ask the mind to perform a sequence of things, the body is like performing unconsciously.
Imagine walking, if you put effort to coordinate every step then you would walk like a child.
The child consciously teached it's unconscious to do the job, now it asks it to walk and walks.
Now back to slinging.
Stationary target doesn't need hand eye coordination as much as proprioception, the release of the sling is part of a sequence, not an independent conscious thought (there will be always a degree of consciousness on release since you are always learning but a noob does it much more than a pro).
So you have you legs on the ground and perform a sequence, the errors are more spacial.
read this (
https://en.wikipedia.org/wiki/Motor_coordination)
an important part is “Uncontrolled manifold hypothesis"
says something like, there many degrees of freedom, the pro mind doesn't care, manipulates whatever comes to achieve the goal.
A paradigm i have in my mind is that of a surfer
whatever the form and shape of the wave ,whatever comes at him he will ride the wave.
Human nature.
With this in mind we can't quantify the limit. Only raise the bar a step at time like mr Jaegoor
I have been discussing it w/ people around me, the most interesting answer was “unlimited”. if you take this as an answer you'll feel so small and incompetent, even if you spend your whole life at it you will never reach “unlimited”, that can hold you back or take away your joy so you'll search for a number, a limit that you can reach so you can find joy into chaos. Vanity of vanities!
took me sometime to write this one , it seems morphy said similar things in the meantime.