The smaller diameter shafts have less end mass which lowers deflection.
(Technically increases deflection in the shaft, lessens squirt on the cb....industry terminology is backwards but more marketable...just semantics)
However, the smaller the tip the more incidental English you might get.
(False. The larger and wider radius/flatter tip will help to lessen the effects of bad alignment shooting for center ball. A tip with a smaller radius/rounder hits the ball cleaner from various offsets which lessens the chances of miscueing. A smaller tip especially one with that dime or better shape gives the shooter better sighting of the exact placement on the cb....with better visuals leading to better pin point placement and centered contact of the tip to the ball English merely seems to occur in greater fashion, the player is able to maintain a greater precision of hit on the mark making small offsets powerful and precise, the larger tip burns “rich” the smaller tip burns “lean”
Most players would benefit from a 12.75-13 mm tip. I used to think that I needed a smaller ferrule diameter to work the ball but found out I play better with a 12.5 -13 mm shaft.
(Personal opinions)
The shorter ferrules are used to lower end mass and deflection by making the end lighter. I’m pretty sure that the wood is lighter than the ferrule, so the smaller ferrules lower end mass. At least that’s the way I have read into these things. I’m sure others that know more than me about the topic will chime in. Look up Dr. Dave’s web site. He gives very detailed info on this kind of stuff.