I think there is an easy test for it. Try doing some pushups (it may simulate action in WCS sugar push for instance). Accumulate potential energy into muscles by lowering yourself to the ground imagining your arms are springs and see how much will that stored energy help you to return back to starting position as it would in case your arms were springs ....
I'm just telling you the definition of the terms "potential energy" and "kinetic energy".
"
Potential energy - Wikipedia"
"In
physics,
potential energy is the
energy of an object or system
due to the body's position relative to other objects, or the configuration of its particles. The energy is equal to the
work done against any restoring forces, such as gravity or those in a spring.
en.wikipedia.org
"In
physics, the
kinetic energy of an object is the form of
energy that it possesses due to its
motion.
You can transform kinetic energy into potential energy which is stored energy. But when you transform it, it is now potential energy and no longer kinetic energy
Using these terms as defined, your previous
"In order to store more rotational kinetic energy, your body needs to turn more within the same time, which means - you must start with body turned more to the left"
Is better said this way.
"In order to store more rotational potential energy, you must start with body turned more to the left. The energy stored in this position can then be transformed into rotational kinetic energy. Greater rotational kinetic energy means your body can turn faster-- that is turn more in the same amount of time."
It's pedantic. But if you want to understand when and where energy is "stored" and what is happening with energy transfers -- transformations-- it's best to be clear that the "stored/potential" energy and the "kinetic" energy of motion are forms of energy. It's fuzzy to think the "stored" energy is
in the motion. The stored energy is reflected in the position and never in the motion.