It would work fine. Every time you change the grit, regardless of what it is, will change the whole surface of the ball. I have one of the ebonite resurfacing machines that has three interchangable pads that rotate the ball together. One time I used 600 grit sand paper, 1000 grit abralon, and a white scotch brite pad at the same time, and the ball still came out looking and reacting well. Whatever the last grit you put on a ball is, that matters the most.
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The left hand is the right hand.