I think it will help your Pool game
I believe Sudoku will help your concentration, help you see patterns, and exercise your mind. I can tell how much sleep I have had in the last week or the level of stress I am under, just by doing a couple of Sudoku puzzles.
Congratulations on your first medium puzzle. You will find as you move to the harder puzzles and gain confidence that you will progress more quickly just like in Pool.
I also don't see how anyone could disagree that exercising your mind, gaining confidence, being able to see patterns quickly and easily and practicing concentrating would not be good for your pool game.
Just be careful Sudoku can be quite addicting.