Good information and thanks to know (though it only pertains to the pictogram).
Omega's (and possibly other retailers') rules are inconsistent across regions. For e.g. I know Omega UK, if it services your watch, provides you a service warranty card (with a 2-year validity on the service). Here in Dubai, UAE, no such card is provided, despite my insistence on it (though there is a 2 year warranty).
Instead, you are issued a paper receipt for the amount you pay to conduct the service and a line at the bottom that states the warranty period.
While it ultimately amounts to the same thing, it is rather inelegant and doesn't have the Omega logo - but the logo of the AD.
What's most surprising was the fact that the watch in question was actually sent to Bienne and the service was conducted there (since it was vintage and the local AD would not handle it....) but the monetary transactions were done at the AD!