< Note that it will only work correctly if you go from lower left to upper-right drawing direction and not if you go from right to left.

Seems that works in any direction :)
Click the first point of the Rectangle
Call the script
Works like a charm! :)

Each rectangle were drawn from the center so in any direction



Edit Ah yes you have the snaping but not the Golden good result !
So draw from lower left to upper-right and Rotate as wanted :)