when it comes to arcs, that is a large part of what determines the max throwing power of your body positions.
It doesn't quite rectify timing, which is even more important than the shape of your arc.
Picture has been modified to match arc distances.
Think of the red line from the diagram as a "rail" that your hand follows on an average throw.
you trace out the rail, and depending upon other factors, the disc leaves at some point along the rail.
each rail has a "critical point," which usually sort of reflects the apex of the rail's arc (marked by a black dash). going back to the car analogy... if you enter the apex moving too fast, the "under-steer" is going to put you into the wall, aka a slip. your goal is to enter the apex "as fast as you can while still able to hold on" and accelerate rapidly out of the apex.
the curvature of the rail provides everything needed for the disc to leave the hand, it's more a matter of when.
the ideal pivot point, aka "how long you should hold onto the disc before it leaves" is approximated by the green dash.
anything released before the critical point is a slip. when it's close to the point it's a micro slip (this can be useful when you try to finesse a touch shot). holding on just past the critical point is a half hit. holding on all the way is a full hit.
i've diagrammed three rails. one is a good old average, sort of idealized rail. the blue circle represents the circle you would use to calculate the angular velocity of the disc as it is pulled beyond the critical point.
as for why masterbeato throws so far, he reaches certain body positions that change the shape of the arc, and as a result, increases the radius of the circle. the abrupt directional change in his rail represents the starting point for the right pec drill (if you're wondering why i ever taught that in the first place).
the last diagram shows a "shoulder spinner." people that twirl their body around without ever achieving a focal hit point. while the radius of their circle may be large... they usually enter with so much speed they have no prayer of holding onto the disc beyond the critical point along the rail. the result is a slip on every throw.
the new method i'm working on is teaching people how to develop a good pace through the rail and manipulate its shape to give a maximum throw.
having a good pace dominates the shape. the shape only matters when you have a good pace.