I just pulled the fare rules of a SEA-LHR that's VS operated and would be ticketed in G for 120k RDMs. Here's what it has to say about flight application:
Flight Application
THE FARE COMPONENT MUST BE ON ONE OR MORE OF THE FOLLOWING ANY VS FLIGHT. THE FARE COMPONENT MUST INCLUDE TRAVEL VIA TRANSATLANTIC SECTORS ON ONE OR MORE OF THE FOLLOWING ANY VS FLIGHT. AND THE FARE COMPONENT MUST BE ON ONE OR MORE OF THE FOLLOWING ANY AE FLIGHT ANY AF FLIGHT ANY AM FLIGHT ANY AR FLIGHT ANY AZ FLIGHT ANY CI FLIGHT ANY CZ FLIGHT ANY DL FLIGHT ANY FM FLIGHT ANY G3 FLIGHT ANY GA FLIGHT ANY KE FLIGHT ANY KL FLIGHT ANY KQ FLIGHT ANY ME FLIGHT ANY MF FLIGHT ANY MU FLIGHT ANY OK FLIGHT ANY RO FLIGHT ANY SU FLIGHT ANY SV FLIGHT ANY TN FLIGHT ANY UX FLIGHT ANY VA FLIGHT ANY VN FLIGHT ANY VS FLIGHT ANY 9W FLIGHT ANY WS FLIGHT.
So, you might be able to combine a VS to KL if there's a valid published fare from Origin to Destination.