While I appreciate you putting things in layman's terms for us simple folk, but I happen to be a mechanical engineer as well that happens to study, design, and spec cooling systems for a living. I also use theory to guide my design work and use test results to guide changes and make refinements to original designs. I also was taught theory in the engineering college that I went to and have traveled around the world with my work due to the engineering experience and capacity that I have.
You are right about the heat transfer being proportional to the delta T at the rated rpm (not speed), at a given airflow, that the engine produces it's highest heat rejection requirement, and the cooling system is balanced to meet this heat rejection based on this value. So, something we agree on.
While I appreciate you trying to save me money and time with your 40 years of engineering experience and testing on this exact situation, I respectfully disagree with your theoretical outcome and will continue to pursue this and do some actual testing. A destination that you and Honda arrived at? Again, quite presumptuous. Honda spec'd this cooling system for a 246cc engine, not anything larger. So I'm reasonably sure (not completely sure, because I don't want to be presumptuous) that Honda didn't study this specific application.
I'm no mechanical engineer, but it seems delta T is the difference in temperature between the radiator and the engine. In a zero air movement environment, your delta T should be theoretically zero, no matter what speed above a trivially low rpm you run the engine at. It is in the heat exchange provided by the radiator that delta T increases.
What Jerry is saying is the water velocity's impact on the engine temperature is proportional to the difference in temperature between the radiator and the engine. The MPH-only situation might be overly simplistic, and there would be a major difference between say 10krpm 2nd gear at 30 and 2krpm 6th gear at 30, but the speed of air passing by the radiator is an important component.
At these different speeds, if the "delta T" is zero, then a new impeller is pretty pointless. If your delta T is 50, then it's probably worth it. 10 sounds like a decent ballpark figure.
This data, at different speeds, is exactly what I'd think any engineer would do before designing a "better" component.
Unless you just want your mouse trap to have death spikes and some mouse poison just to make extra sure.