found that the main difference was that the premium chalks did not transfer to the cue ball or table like the cheaper chocks did.
The cleaner chalk is more than just cleaner; it can prevent missed shots that the dirtier chalk would cause.
Dr Dave explains that this is because Masters chalk puts more chalk on the cue ball than the more-expensive, cleaner chalk. More chalk sticking to the cue ball can sometimes cause cling that throws the object ball.
From Dr Dave's video cited below at 10:30:
Cling is a concern with all chalks although it is much more of a concern with chalks that stick to and persist on the cue ball more easily.
Master chalk is less good in this regard and chalks like the original version of Kamui and other cosmetic style chalks that really stick to the cue ball.
[They] create far too much risk for cling for both you and your opponent.
These types of chalks should not be used.
And at 11:15
Cling does not occur very often even with Master chalk but when it does it, it can cause you to miss a shot and maybe lose a game or even a match. For top players the new premium chalks which are cleaner and do not persist on the cue ball can offer a small advantage.
However as I showed with the cling tests all chalks can cause cling if the chalk mark is fresh regardless of which chalk you use. You should always clean the chalk marks off the cue ball every chance you get before each break and every time you have ball in hand. If you see chalk marks on the cue ball during a game ask the referee to clean them off if that is an option.
Example of cling in another DrDave video at 0:30 to 1:40: