prototype? eagle-beek with plastic surgery? 😀
The 580 endlinks are aftermarket (aka fake), you can tell from the graphics / lettering of the numbers.
It's not a big issue, you can buy an original couple for around 500 euro, but I would do my due diligence on every other part of the watch.
Now the question is, should I polish it or not ?

for this shot!You must be very comfortable with this option. You can't undo it. Personally, I'm not. A vintage watch wears its history, especially on its case. I like these kind of marks, I expect them. That's a main reason for diving into vintage watches...
Btw,for this shot!
Could you tell more about the price range? Have an active friend here ready to pull the trigger on this ref, he could be interested also...😁
The good selection of a vintage watch is taken to absurdity by polishing.
I wouldn't mind getting it back closer to the original finish by giving it a light polish.
If this watch was unpolished that would be different, but it isn't. So getting it done by someone who is very good at restoring the brush, would be a good option.
One crownguard looks fatter than the other. I think this was polished?