@lewm I agree it is somewhat meaningless in term of the platter speed and W&F levels…
But ignore the protractor and just draw a radial spoke on the paper. And there too… as the stylus moves inwards walk in “platter rotation space”… (well all except a linear tracker)
We do not need to do an experiment, as we can do it all solely with trigonometry.
(I might write a program to show it.)
However for an experiment we could do it with a two arm table if one of the arms was a LT. Then we would time align at the start… or we would just do a cross correlation every so often to show the offset as a function of time, which is the time delay as a function of platter position.
This method (being a relative measurement) would remove all the W&F and platter speed, but still probably includes some effect from the offset holes.