This should be somewhat obvious as otherwise you'd get a different result with different units (and no SI units won't save you here, those just work for several common equations in physics not ones you came up with yourself).
Maybe I should have clarified that in the thread.. Thank you for pointing it out!
By the way with your data it looks like you get a better fit if you assume your first image is not at 50ms but rather 38 ms. A line fit between t and r^(5.2) gives a slope of 1.6 10^13. This gives 4 kt if you use the lower estimate of 1 kg/m^3 for the density of air.
I do worry you may have overestimated the distance slightly, as these numbers are frankly ridiculous, and with a power of 5 even small errors grow quickly.
(It’s been too long since I read Taylor’s paper. I thought he had relied upon such experimental data, but it appears I misremembered.)
I do worry about the accuracy of this a bit, but looks like it could in theory work.