It isn't. Walking is a bad example because it is natural and simple. Pool is neither.its like using physics to explain how to walk. or arguing how to explain walking to someone,
its chemistry
, the chemistry of your brain
when you learn through experimentation and repetition, then that's when you know just how to do it.
and can do it without making costly mistakes.
Say instead, it is like using physics to explain how to be a competitive archer. It is very applicable.
The rest of what you said is correct.