Yes, I was thinking of some kind of worm box that you would alter to improve the backlash.
I'm thinking the main advantage of a worm reduction is to eliminate jittering of the part because of the torque advantage that the cutter has, working at a large radius. A single thread worm reduction is very difficult to backdrive, and I do not imagine that you can achieve the same stability with any kind of parallel shaft reduction unless you have a monster sized motor holding it back. Even then, small vibrations take time to damp out electronically.
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