Hardly doubt it will have much impact, if I want to fly OW to get to HKG from ARN then I'll use the AY flight most likely. The SK flight timing is really great for people based in ARN because of Stockholm traffic congestion. I don't expect people to opt for an itinerary involving a connection in CPH if there is a direct.
While CX is vastly superior to SK in most ways, a seasonal non-daily route will only attract so much interest and OW travellers I assume are rare in CPH.
It wouldn't surprise me if the AI DEL route hits SK harder than this CX route.