I am an unabashed fan of Kingsbarns. And although it is perhaps a little unfair to pass comment on WS after only doing so on tv, I am now going to do just that.
The main difference I could see between the two was that although man made Kingsbarns appears natural. In fact I wasn't aware until after playing it how much dirt they had actually moved. Those with greater experience with Linksland may have been able to notice the man made features, I couldn't (except perhaps the hill in front of 11, which has some similiarity in contour to the hill in front of 15 at Royal Dornoch but closer to the green).
With WS the man made features are immediately striking to the eye (i.e 18 and the railway sleepers.).
Based on this one facet I would say Kingsbarns is a true links course while WS is an imitation. A very good imitation but an imitation nonetheless.
Also gladly Kingsbarns played reasonably hard and fast, which according to the pro's WS didn't. Which may have something to do with the climatic and perhaps geological conditions Tom was talking about.
Lastly, to my mind Kingsbarns seemed to have a flow about it. Even while watching the Dunhill last year on tv I think this could still be said. WS appeared to be a series of good holes placed together not a course routed over good ground. This may be just the effect of television coverage, I'm not sure.
No really lastly, At Kingsbarns very wide even double fairways a la TOC are provided on some holes. This I presume adds to my feeling that the course flows better amongst the created environment.
That's it, finished now, nothing else to add, I'll be going, see ya, bye,