My Father‘s Omega Constellation (late sixties)

Peemacgee

it is possible that the finish we see on the OPs bezel and the gold example you posted above was reserved for solid gold models.
(it would be interesting to see if they have ever shown up on a gold cap or steel version )

noless

For what its worth ive only ever seen this on the solid gold models, this finer "fluting" which i took to be more a replacement of the radial brushing due to how soft gold is, its more the clearer cut flutes on the gold cap models. Perhaps
@kaplan knows more as im sure hes seen more c-cases than me.

Peemacgee

If I'm not mistaken, the knurled bezels on c-cases are solid gold on both gold cap and steel (white gold - possibly rhodium plated as they tend to discolour) and should be solid gold on the earlier gold cap models too.
(the reason for gold bezels on gold cap models is that it is difficult to 'wrap' such a small item as a bezel with gold, so they were made as solid gold - 14k, like the gold cap IIRC)

Aroxx

My understanding on the steel watches is some bezels are white gold and some are steel. The steel ones are easier to tell because they tend to show rust. Or perhaps that’s the rhodium discoloration you’re referring to? I’ve seen a bunch like that I’ll try to find a pic and update this post.