A star on a non-Connie?

Hello all. A question for you – did Omega give stars to non-Constellation watches? I ask because there’s this one on Ebay: https://www.ebay.co.uk/itm/254971592398

I’ve posted a couple of pictures of the dial, movement and case below.

It’s a 2894, cal 267, 18k case, movement 16xxxxxx so dateable to c.1958. It has the same movement, gold content, and age as the Tresor (OT 2894) on the archive website: https://www.omegawatches.com/en-gb/watch-omega-tresor-omega-ot-2894 although the dial is not especially close.

Searching for the reference on this site, I found by chance one that had a similar dial: https://omegaforums.net/threads/omega-ref-2894-1958.73079/

It’s the star that puzzles me. It’s not a Connie, or claiming to be one, and the similar one posted above didn’t have a star. Nor do other 2894s I've looked at in a quick Google search. My first uneducated assumption would be a redial, but it seems a strange thing to add just for fun. I know nothing about this reference, this isn’t a watch I’m looking to buy, and I’m not looking for an evaluation of it - it just seemed to raise an interesting question.

Thanks.

Having just read the really interesting thread on a pie pan Seamaster then perhaps a star on a non-Constellation isn’t so strange after all. Or a redial with artistic licence if not!

Thank you! Sometimes it just requires one word, in this case “Teddington”, and the search becomes very easy.
The Brits amongst us might know of “two-ton Ted from Teddington” from a relentlessly catchy song by Benny Hill.