Patrick, my personal bias is to approach any empirical problem from a reductionist perspective first. I believe that is what you're doing here and so, in principle, I agree wholeheartedly with your approach. However, in order to prove that strike location, angle, and speed are the only important variables, we need some well-designed and well-executed experiments. As you say, they haven't been done. So, neither side has any real evidence going for it.
But, there possibly are more variables that just those three. And they may exist in human body. Just as an example, there are a lot of bones and soft tissue in the hand that move, deform & displace, and shock-absorb (or not) as the cue moves and strikes. What might that have to do with it? Don't know but I do know you can "feel" when the stroke is right. And that's just the hand. There are other body parts involved.
What kind of hand are we going to give our stroke-bot? A rubber-covered clamp that cinches down on the stick? Is it also going to get a similar bridge hand? If so, it may never be able to replicate "stroke' (all those minute motions that might have something to do the final action on the cb).
But back to the body and the hand specifically. What happens in the hand, I suggest, is not perfectly replicable from one shot to the next. Same with the rest of the body (chaos?). And that introduces neurological feedback, which may be the soul of stroke. If you look at slow mo of very consistent strokers like SVB (there is a video somewhere; I've seen it), what you see is a mess of wiggling and wobbling and adjusting from the beginning of the forward strike all the way through. What's that all about? The shooter is using a giant, changing input of data to adjust and adapt to get that tip to that spot, at that angle, and at that speed...and to do it at least with stroke.
So, I think the problem might turn out to be a bit more complicated than our reductionist minds find comfortable, but I admire you for having the courage to start a science thread here, among the hide-bound denizens of the Grande Hall of The Pool Neanderthals! :lol
Grunt!
Skin