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To be fair, mm scale lines are a thing and its pretty standard to estimate the last digit between lines on a measurement.
You'd still need demarcation down to .1 mm. Your eyes are going to struggle to guess which line you're supposed to with, much less estimate last, unmarried 0.01 mm. 100 μm is about the width of a hair. 10 μ, well, good luck.
Regardless, such a precise measurement is meaningless when it comes to height, because there's a lot of uncontrolled variables that will change you height for any given measurement.
Instrument uncertainty will be a very small part of total uncertainty there for sure.