As you know by now, you have an exquisite 33.3 CHRO. Your research is spot on.
If you intend to sell it, know that collectors prize originality above all else.
Since a watch is only original once, the prevailing advice on this forum is to NOT service the watch, do NOT send it to Omega for restoration, and do NOT replace the dial. In short, do nothing to the watch. Leave those decisions to whoever purchases your watch.
Collectors do appreciate provenance. If you can provide documentation showing your family's history of ownership of the watch - for example, photographs of someone wearing the watch, or old service receipts, boxes, etc. - those records will help to promote interest in your watch.
As far as valuation goes, your best approach is to do as you have done and search for auction records. The 33.3 movement went through several iterations during its long production life, but yours is one of the first generation. Early enamel dial watches are highly collectible, stainless steel cases such as your are preferred, and your watch retains the original moon hands.
Selling this watch at a well-publicized auction is your best chance at obtaining market value. Search this forum for the pros and cons of selling at auction, on eBay, or privately. Best of luck with your heirloom!
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