That is a prototype, the 'first' Radiomir and is modelled the 2533. Only one was made, [or more acurrate, there is only one in existence.] The dial is totally prototypical and was never used again. The case became the one used with the 3646 models. The dial will a filled sandwich is very ROLEX in style. Especially in the dark. It reminds one too of German Pilot dials ...
The original 2533 case was unique in that it had a Windowed back case as well as a solid cover that snaps over it - this was a very interesting design and as far as I know only used the one time - which is too bad. (I have a rep 6152/1 case that has the feature, the cool thing about reps, fantasy IS an option.)
The 2533 contained a Rolex 15J movement and used a Rolex screw crown. The crown in the image is not unscrewed you are looking at the crown tube which the crown is screwed onto. This also was set a bit taller on the older models. When they got sheared off, they started bringing them in closer. It was my option to set this tube as view, as I had to mod that case to do that anyway, I made it taller than you will see on retail versions.
BTW Davidsen will build this watch for you and you can even ask for the CORRECT HANDs, which he just started selling, those pointy Rolex style ones were common on these first models - the Dodecahedroned Bezel 3646 is another Odd Vintage.