@W@tch K8ty
the no-date Dogleg that you show from closer is almost a nice watch.
Let's assess it.
Reference 167.005 - a no date dogleg constellation, this one with pie pan dial
Cal 551 - looks clean and the OXG stamp says it was originally a US import watch
The 20,3M serial, places it as a quite early 167.005 - around 63/64.
You will pay a small premium for a no-date Constellation, as fewer were made and no-date watches are quite popular due to their 'uncluttered' dial (this is a personal preference for some collectors but just as many prefer a dial with a date)
The case is pretty good, although showing some signs of polishing, the facets on the lugs are still well defined - this watch would look good on the wrist.
The medallion on the case back is clear and sharp
Original crown (you can tell by the style of the Omega symbol)
The dial looks to be in pretty good condition, although the description says it is marked all over - but closer's pics are always over exposed, so difficult to be absolutely sure.
The single T next to SWISS MADE is fine (there are often Ts either side of SWISS MADE)
The lume in the ends of the indices looks a bit hit and miss - but it won't glow much anyway so shouldn't worry a buyer too much
The hands are not so good, the description suggests that they are patinated but in addition to that Omega didn't use 'minty' green lume on Constellations, the hour and minute hand have had the lume replaced.
The seconds hand is a replacement (probably generic by the looks of the centre hole configuration)
The crystal is a generic replacement. (no Omega symbol in the centre)
The bracelet has nothing to do with any 60s constellation.
In summary, a pretty good watch IMHO and would be a reasonable price for 167.005, from a dealer, if the hands weren't redone in green lume filling.
Unless specified (and evidenced) you should always allow for a service for all vintage watches - so if you could find a watchmaker that could also replace the green lume you could end up with a nice watch.
hope that helps
image for reference