I wasn't going to mention it, but since SD brought it up, based on what you said, you don't really know why the watch disengaged from your wrist. Given that, neither Omega or your CC co. bears any liability, unless your CC Co. has a "no questions asked" refund policy. If you have a rider on your Home Owners insurance, specific to your watches, which covers loss, you have hope. Otherwise, you may be out of luck, and will have to replace it, if desired, on your own dime. Do let us know how this all turns out. Good luck!I am very sorry about your watch, I hope it did not spoil your vacation. (I would have used it as an excuse to buy a new watch while on vacation, but that is me.)
I do not believe Omega has any liability on the matter, accidents happen, so I expect nothing from them. If I thought it was Omega's fault, I would not buy their watches anymore, until the problem I had with them is corrected, which might never happen, or I could correct the problem myself (for instance, with a NATO strap as many have suggested, or a rubber dive strap with a tang and buckle.)
If you have insurance, then it should be a done deal, with no stress from you.