So, your contention is that less angle change to the path arc in a given distance is better? And distance is the defining space, not time? And, not perpendicularity, but rather angle change, ie, staying constantly "open" instead of perpendicular, is better. If not, and perpendicular is better, then, if the arc is narrow, the roc should be higher, and if the arc is wider, the roc should be slower?
Excuse me ? Where have you taken all these odd questions from ?
I do not believe I need to explain such prosaic things but:
1. the notion 'rate' means mathematical ratio; experts who run researches should decide how to measure it so that it is clear whose clubhead rotates more in a certain period of time or distance; I presume you understand we're not talking about RoC between contact and separation -- the reason I ask is because I needed to explain it several times before;
2. there should be a special coefficient taken into account for different clubhead speeds of different golfers just to equal them;
3. if in this certain given time/distance perpendicularity of clubhead is being preserved it shows the smallest possible RoC;
4. I have no experience in preparing conditions to run a physical test but I do not think this one is extremely tough thing to do.
...and if all this collapses like a house of cards, ie, a guy "rolls" and "flips" the clubhead and hits it straighter than a non-roller/flipper, this is an exception?
It is not about who hits it straighter, but who can hit it more repeatably !!!; straighteness of shots can be easily found e.g. via stance if we presume a very consistent golfers who e.g. hits dead straight pulls 90 times out of 100 hits; compare it to a guy who can hit it straight 25 times out of 100 and shows total inconsistency in the rest of his shots.
Shortly saying, the correlation to be proved is as follows: the smaller RoC = more consistency (which is so obvious a thing that I don't believe should be discussed).
That's my point. When people say that ROC is important they are merely guessing. I can look at video and claim that the face looks like it's closing at a slower rate than with another swing. So what? Just because I slow my "rate" down doesn't mean my timing of the face automatically increases (and my speed will stay the same). That's a major assumption in such deductive reasoning that if the ROC slows down one can better time the face (I'm speaking with a normal swing.)
I know one instructor who claims he can slow the rate down with a release sytle and keep the clubhead speed the same. The funny thing is that his favorite champion constantly begs for evidence and believes that it must be true because of video without even knowing how much of a material difference is between fast vs. slow ROC. Those two are just guessing and video doesn't show the forces at work.
Well, assumption and guess are powerful tools in search of the truth. Intuition as well. Science history is full of such cases.
The point is that I have the same right to claim things as you to negate them until the truth is revealed through tests. Doubting in assumptions does not make the assumption false. Hope you understand it.
Cheers