The latest Jubilé, for example, is, as well as the MUT 34, and 38. The Reverso 1931 is, also belonging to this category. Of course, there are 3 extra mm, but you have the case and the carriage, and it is difficult to do thinner without risking to touch to the reliability of the flipping case.
But I wouldn't call UT the MUT 39 Moon, or the MGUT 40 or 41 mm.
As for JLC, may the God of the Vallée de Joux hear you!
Best,
Nicolas