Let me try to explain something. If you tell me total weight of a cue, balance point, and where you want to place your fulcrum, I can tell you the weight on the scale. That is just math. It has nothing to do with distribution or materials. Still, I do agree that weight is important, but also directly related to balance point.
Now, I do think weight and strength distribution and weight play a role because, roughly speaking. . .mass(weight on earth related) x stroke speed at impact (including some tip hardness factors) determine the force imparted on the cueball at the point of impact. This force and the direction it is applied tells you where the cb goes and with how much spin is applied. For example, draw actually hits upward slightly and could jump the cb off the table surface slightly, if the shaft/tip don't deflect down enough and absorb most of that vertical energy.
If that hit is off center(spin), the cues longitudinal stiffness(resistance to 3 point bending) and dampening characteristics seriously affect hit. Longitudinal stiffness is related to materials used and taper mostly. IMO, this is why most small diameter or long pro taper shafts feel less than inspiring when juicing a big draw stroke. Dampening is how you feel those vibrations. Having a pin point load like a SS joint collar or a weight bolt dampens the cue in some way. Rubber bumpers also do this by absorbing vibrations. That is why a cue without point loads feel more lively. Conical tapers feel stiffer, but at the expense of feeling like they are rising through your stroke a speading your bridge early. Also conical tapers move mass and stiffness forward which seems to worsen deflection.
The issue is that what imparts feel to your back hand on a center ball stroke, is axial stiffness. A cue would be much more axially stiff than longitudinally. So, it would have varying feel depending on spin and speed. Not sure about you, but most people like same or confidence inspiring hit.
This is where it all gets hard. We need some engineering student, grad student, preferably and a custom cuemaker to team up to define and perfect hit per some process. I think the process is get some cues from something like the AZ build off. Have them ranked in hit by serious cue aficionados. Define which ones are poor, good, OK, best and then using a jig of some sort, run these tests until you can define why good was good. Build something you think is good and add it back into the mix of test cues and send them back to the experts for confirmation.
Last, be prepared for the inevitable result of feel performance. . .sometimes good is undefinable with current tools, scientists or is not repeatable. Still it would be fun and most mechanical engineering departments would love to do it as one or many senior/grad projects. Money. . .Hmm, that is always the trick, but someone must care about column impact analysis enough to give you $100k or so, right? Predator, McDermott, Meucci?, some joint effort?