I think you might be right on the Smiths.
Was looking over the 'Bay' and say a Smiths Chrono go for, given the movt, though a wonderful watch, a great, great deal of money.
I have a cherished Smiths 6b that I love, and is fortunately in great condition-it is apparrently rather rare, the W10 being much more available and of course the 6b is the pilot/nav. issue to the W10 General issue so the design matches the use more exactly. The case is sharper on the 6b, too, than on the W10. There is e previous post on this form about the latter point.
The Precista produced by Timefactors (by Eddie) is just like it and a great looking watch-the quality is very high, too I believe-a lower risk version to wear than the Smiths. Thinking about one...Have a look,too. A design classic.
The Smiths military watches are English, though the factory I beleive was in Glo-shire, with thse working there being from Wales and other parts of the Uk, so one may regard them as British.
The quality aspect is further demonstrated as the machinery was sold to Smiths, and was tooled by no less that Jaeger Le Coultre/Le Coultre the original no-nonse, quality-first with no compromise maker, to this day with an exceptional reputation for quality.
If one could find another 6b by Smiths, one would consider it, as it would be a nice one to have, but one must not be greedy, though an amazing gift later to give someone special at a very special occasion, for example.
Best Wishes,
Pottinger+ :)