I've had the same experience with spinning arrows.I don't call my jig a spinning jig because I don't really spin the arrows on it.It's really more of a tip alignment jig.
Mine has a short piece of aluminum angle in front of the arrow's point.I establish a perfectly centered,reference dot on that piece of angle.
I then orient the blade vertically and sight down on top of the blade.That reference dot tells me which direction it is off and by exactly how much.I then move the point till it lines up with the dot.
After that,I turn the arrow 90 degrees so now the blade is sideways,sight down again and make sure the point lines up with the dot.The reference dot takes all the trial and error guess work out of the equation.
After building the tip alignment jig I also went back and checked the tips on some old arrows.Just about every on was off to some degree and more than I thought they would be.It's a good tool.