Some years ago I was a carpenter in the UK. From what I can see this has changed little since then... If I were laying out for sheet materials...mdf or plasterboard came in metric sizes 2400x1200mm so joists or studs went at 400mm centres. If I were laying out for plywood it came in 8x4ft sheets so I would use 16 inch centres.
If I were measuring a space to cut something to fit I would use inches or feet and inches, 23 an 1/8, for instance.
I might need a small hole about 1/8 of an inch, open my drill box and select a 3mm.
If I were ordering timber I might ask for a 3 metre length of 4x2. As in 4x2 inches! If 3m were too long you might prefer an 8ft length. The yardman would walk you straight to the 2.4m pile without hesitation. Of course timber lengths are in 300mm increments to align with the feet of old. When you got your despatch note it would say something like 2400x100x50. Or perhaps they used regularised timber and it would have been machined down to 97×47 which may or may not be mentioned on the ticket. It would still be called 4x2 whatever!
Thing is, none of this caused us any trouble whatsoever. Well.. apprentices who learnt cm at school (which was NEVER used in construction) had a fun few weeks at the beginning.
I had engineers use all the same terms to me verbally, but never in their written work which were always in mm