Any alignment of a radial arm is a compromise. The alignment procedure is supposed to achieve the least amount of distortion across the entire record surface, not eliminate distortion. So, to fuss over it excessively is futile.
TT speed
When I use a protractor to align the stylus I do the alignment at the inside, and then rotate the platter maybe 20 degree when I move the arm to the outside of the LP, or protractor.
On a linear tracking “arm” it would not need to rotate at all.
At 33-1/3, then 15 minutes would be about 500 rotations. And that 20 degrees would be a delay of 18th of a rotation.
So a 1 kHz tone would be about 0.11 Hz below 1000.
It is not much, but seems kind of interesting... maybe?