Problem I see is one of resolution.
Take the smallest pulley you can use without undue belt wear, say 20 teeth for round figures and you are running on 5mm pitch belting so one rev moves 100 mm.

Now a standard stepper moves 200 steps per rev so one step will equal 0.5mm or 0.0197" say 20 thou per step.

Dropping to 10 microsteps which is about the max usable without shedding oodles of torque will reduce this to 0.05mm or 0.00197" or 2 thou per step.

Without another belt reduction in the system somewhere before the 20 T pulley or using servos with high count encoders [ which will also reduce speed ] this system has limitations, patent or not.

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