While vastly different games I think the knowledge of 3c is an advantage for a pool player especially in their early and mid- level stage.
The cue ball is the game and 3c will teach a player everything and anything there is to understand it’s movement with confidence.
I think it helps for quicker decision making and less confusion.
Other advantages I see.
Of course all the angles and how to strike the cue ball to get in the position track.
Pattern play because you see the options and tracks more easily.
Safety play recognition and execution.
Recognizing 1,2,3,or 4 options quickly is an advantage and I think a 3c player see the choices easily.
The execution of sending the cue ball and object ball in different directions and distance with speed, spin, and thickness of the hit is more understood when you’ve hit that thickness 1000 times on a 3c table.
I’m on a boat in the ocean waiting for the tide to change and bored, just rambling.