If carbon fiber cues were better than wood, snooker players would play with it.
But they don't.
Snooker has smaller/lighter cue ball, not requiring the power generation in the hit like one needs when playing pool (especially rotation pool). There is a resiliency/wear factor that pool cues go through whereas snooker cues kind of get a lighter work load.
Not saying it can't be done, because Mark Grey has played quality pool with his snooker cue.
That said, snooker cues are also either one piece or two piece solid wood from Ash, not spliced/solid maple like pool cues. Even the ferrule technology is different between snooker and pool cues. The tips in snooker are usually one piece leather tips, while pool players bounce between one piece and layered tips of varying leather hardness.
There is already advanced technology in pool cues, from hollow core Low deflection shafts to synthetic material ferrules (which you won't find in snooker). It was a given that eventually an entire shaft would be synthetic.
In my opinion, the cue sport with the heaviest work load is 3 cushion with the larger balls and more power/spin needed to execute top level shots.
I'm expecting the professionals in these sports to switch to carbon fiber once the diameters/lengths of the shafts become more varied in sizes.
Russian Billiards or Pyramid players require a sledge hammer hit to pocket object balls. I'm expecting to see lots of carbon fiber in the years to come by their professionals.
The ability to have a cue that will not warp, dent, or change over time and over the amount of hours played at the table is a significant and i think it is one that players will stand in line for once the manufacture modifications can be made by the maker to get the right size cue the player wants for the desired cue sport played.
In the very least, the non carbon fiber pool players are switching to carbon fiber break cues because the abuse factor and power required for the break shot wreak havoc on wood and a carbon composite cue will withstand that for years.