An Apple Watch will always install the country specific watchOS for the country of purchase
The OS version for an Watch is determined by the current location of the device. For example, we know that this is true because folks report that they have bought a watch in the US with the ECG feature and after returning home with the watch to a country where the ECG function has not been approved as a medical device in that county, the first time they updated the watchOS in that country, the ECG capabilty was removed from the watch.
This has been reported here in this very forum many times through the years.
M1 Mac mini, macOS 15.6; Watch, series 10 GPS-only, watchOS 11.6.1; iPhone 16, iOS 18.6.1; TV 4th Gen, tvOS 18.6 HomePods, audioOS 18.6