My great-grandfather's omega 23.4 sc

Hello to everyone.
Last year my father died, the one who inherited an Omega from his father who gave it to his father when he told him to study medicine when he returned from exile to help the families of workers killed in a massacre claiming their rights at the beginning of the century.
The watch was broken, and my father never found anyone who could fix it in the south of my country (Chile), fortunately my mother has a watchmaker friend, who happened to be the son of the omega representative in the south of Chile (Concepción) where my grandfather bought the watch and had the original parts, so now I am the owner of a working watch.
my grandfather was born in 1889 and my father is the oldest of the children of his second marriage, so the date of manufacture of the watch may be an interesting fact for the family as it coincides with his studies of medicine, and makes sense the gift of a Medicus (if that was the model of the watch).
so I'd like to get more information on the watch,
I know it's a 23.4 sc by serial number (8954972) should be between 1936 and 1939, but I have doubts about the Medicus line.

more pictures

It's a 23.4SC ref CK 650. Although it is presented as such in AJTT p.126, it isn't what Omega named 'Medicus' in the 30's, this name was only for the first 23.4SC model ref CK651, with square case.
It is however an interesting an unusual model. Serial numbers date it from around 1939. Dial and hands seem original, even if it is difficult to juge on those pictures. The part that keeps the central second hand pinion in place (don't know the name in English) is not original.

Mine (same dial, different but also original hour & minute hands, probably wrong second hand, right crown) says hello :

THX for the information, u mean this part, I have the same field, but I remember seeing another move with a very close serial ( + - 300) with the same piece that made me doubt it. I'm gonna go look for it.

another picture of the hands

I have no doubt on hands being original. I was talking about the dial. It looks fine but a it needs a clear picture of the dial and especially of the logo and Omega name to be more affirmative.

the dome has a few stripes between 11 and 12, and the dial has less patina between 1 and 3 and other imperfections, that should call your attention, but as the watch was used daily by my father and grandfather, we all know the evolution of the dial in the family over time so I am sure it is original and has not been replaced.

other one
https://www.ebay.com/itm/Omega-very...tainless-Steel-watch-Circa-1937-/232172353706