It has nothing to do with if it's been opened, adjusted, or serviced by someone else actually. Rolex does grant parts accounts to watchmakers that do not work directly for them, so they condone servicing by a third party all the time, since they sell parts to those third parties (although the number of accounts is shrinking all the time, but that's a whole other discussion).
The only legal importer of Rolex trademarked goods (parts, watches, boxes, etc.) is Rolex USA. The only exception to this rule is an individual who has bought a Rolex outside the US, and is bringing it back for their personal use, and that must be the only Rolex they have with them.
It has nothing to do with deeming the watch a counterfeit. A brand new never opened Rolex will still be confiscated if the customs people are on the ball...
Cheers, Al
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