Girard Perregaux Sea Hawk 1950s-60s: question

I've been eyeing a very attractive 1950s-60s Girard Perregaux Sea Hawk on ebay, and I noticed that the logo, while it looks like a typical stylized version of the Sea Hawk logo from the 60s, is different from the all-caps logo present on the only other versions of this watch I have found in an internet search.

Here's the one from the ebay auction (https://www.ebay.com/itm/c-1960s-vi...-Stainless-Steel-mens-wristwatch/303092148283):

Note the stylized Sea Hawk logo.



I found other examples of the nearly identical watch here:
- http://bbwatches.info/gpseawhitelther.php
- https://forums.watchuseek.com/f11/any-vintage-girard-perregaux-experts-out-there-1806490.html

These images show an all-caps SEA HAWK logo:

The minute hand is also slightly different on the ebay one.

I wonder if the ebay example represents a watch made in a transitional period for the logo, or if it's a redial. Curious if anyone has experience with Girard-Perregaux watches of this period.

Also, here's a complete nube question: Is the number 1209851 on this movement (from the ebay listing) a movement series number or individual serial number? I ask because I saw another Sea Hawk of this vintage (but with a different dial) with the same number on the movement (https://www.ebay.com.sg/itm/Mens-Or...-S-Vintage-Swiss-Made-17j-Watch-/382548297596) .

A couple of things that I notice. The watch you are interested in may have a replacement crown, gold vs. SS. The photos of the comparison watch looks to be a re-dial. The A in Sea Hawk is raised and it doesn't look right. The "Girard Perregaux" also looks off.

Thanks for the help, gatorcpa. I had tried to find this info on the Ranfft site but was a bit bewildered by the site's organization scheme. And Mac5, I was wondering about the crown: it almost looks like a chromed crown worn down to brass base metal, if such a thing exists. There is no hyphen in the Girard Perregaux in the comparison watches, but you see it w/o hyphens on lots of G-Ps from the 50s online.