kengs wrote: And in any case the tool also shows where you have to move the guide star to. It just means the star will not travel exactly along the alt and az lines shown. But its the destination that matters in this case, not the path.

The alignment of the axes used for the correction matters because the correction is calculated in that coordinate system.
I discovered this beta testing the original Celestron Polar Align when I tried adjusting the tripod leg length to centre the PA star. It didn't work, not even close.