The screw with 20 mm lead works fine under my tests so far but it is not necessarily the final choice to drive the table. Back in 2009 when I was at Segway developing a project for GM we used a motor, pulley and wire to slide the top part over the bottom part. That is an option that I am thinking of using, it would be more tolerant of wayward grinding debris over time.
https://en.wikipedia.org/wiki/General_Motors_EN-V
and video

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