Even though I diverted the topic slightly above with the photos of odd micrometers, I wonder how much the discussion here really helps Oliver.
Yes NASA apparently crashed a space lander due to a misunderstanding of units, but we mainly work in our own workshops.
Someone commercially producing items for third parties will be familiar with the spec required and work in the relevant units.
Apart from thread sizes, expressed as vulgar fractions in BSF/BSW/Unified, most other machining measurements these days are expressed in decimal (outside the US or old blueprints); sizes of bar stock might be an exception.
Yesterday I made some thumbscrews for a neighbour.
These are for attaching trays to the bottom of bird feeders. A quick read of several catalogues seemed to imply ½” BSP as the standard thread fitting for them, so I asked Steve to drop off some samples to measure, as I have a set of BSP taps & dies.
Well, the tap was a tad too large for the hole, and the broken plastic screw was a rattling fit in the die.
On measuring it, the plastic original screw was oval and about 30 thou under BSP, but seemed to be 14tpi.
On the other hand, it was close to 20mm 1.75 pitch. The thread under the diecast alloy feeder(s) was badly formed and hard to measure, as well as not being cut quite deep enough, regardless the thread pitch.
14tpi seemed a better fit than 1.75mm, both externally and internally, but they are almost identical when you hold up thread gauges to the light, so either would probably do OK.
Should I have made the screws 20mmx14tpi, or 1.75mm? or 0.780″ x 14tpi, or 1.75mm
I was screwcutting them regardless, as it wasn’t worth buying a one off die, and even a 20mm tap would have bottomed out, so I’d need one of those as well to suit the die cut thread.
All my lathes are imperial leadscrew, so I went for 14tpi x .780″ Second operation for the slot, to save damaging the thread, was in a 5C collet 25/32″ was the best fit, rather than 20mm.
i.e. picked the units to suit the machinery and the job in hand.

Bill