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Well, in your situation, it will be repeatable once you program out the backlash. I think it's reasonable to accept a little backlash in any gearing, but I'm no expert.
I find my robofocus certainly is repeatable, it's so precise I have never noticed any error in its movements, and I don't use any backlash correction. But I suspect that observation is influenced by many factors in the setup (for example focal length affecting how much focus movement is made before focus change is observed).
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