Bearing in mind that wood isn’t a precision material, at least 10x worse than metal, I suggest cutting wood threads is a fitting process, where the fit should be loose rather than tight. Wood is also unstable compared with metal and doesn’t hold exact dimensions.
Metal supports high-precision and accuracy; wood isn’t “good enough” for that. As wood is bound to be inaccurate, don’t overthink it. In the video, a digital caliper is used to expedite the calculation and to mark out the size of the male, centring by eye. The digital caliper implies much higher accuracy than is needed. Could be done with a school geometry set compass and a rule. Thereafter, hand held tools, no measuring, and a notion of ‘parallel’ that a metalworker would jibe at! Crude, but effective for wood. Note a tight fit is relieved with sandpaper and retesting, not by measuring.
Dave