I really liked your post. Very interesting. The OP stated the best all around cueist though, right? Does that not mean the players who play all of the different games the best? Yeah, the guys you mentioned are some of the best snooker players ever, but how good is their rotation game, Bank pool game, or 1 pocket game? They may lose to any of the great pool players of today, if playing any of the pool games. And how would they do against the Carom players, playing 3 cushion billiards? Was the OP's question, the best snookers players ever, or the best all around players ever? I am confused.
To be good at some of those games such as 14-1 or 9ball doesn't necessarily require the very highest level of cueing. Instead they require a certain standard of cueing and a lot of knowledge. The pockets, cloths and table conditions on pool tables for example allow for a much wider degree of inaccuracy when cueing the ball. Therefore, knowledge, experience and shot selection are the main keys to excelling in these types of games, not necessarily perfect cueing.
In light of this snooker requires higher accuracy, cue power and timing in comparison to all of the other games. Accordingly, the top snooker players must be listed as the best cueists because they are playing a harder sport which relies heavily on having a perfect cueing action..
It is similar to asking who is a better boxer, a professional boxer or an mixed martial arts fighter? Boxing is not the primary weapon for an MMA fighter where it is for a boxer. Thus, boxers will will be better boxers

In saying this, perfect cueing is the main weapon of a snooker player whereas it is not for pool games. At the end of the day the question has to be asked who is the best cueist at each discipline because the snooker players are miles in front when it come down to being a 'cueist'.
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