I think I was using either F300 or F600 in that video. The sample interval for analog Z probes is 1ms, so F600 (10mm/sec) would give a theoretical uncertainty of 0.01mm; except that probing speed is reduced by a factor of 3 when the sensor indicates that it is close, so the uncertainty would actually be 0.0033mm.
You may wish to use a M558 S parameter somewhat lower than the default 0.03mm, depending on the Z resolution of your printer.