An interesting question at Cre8asite Forums has been asked: when you click on the cached version of a website, does it show up in the website's log files?
One member says yes, as long as there are images on the page:
It would only show up in logs if the file requests for images are made. The cached text and code exists on Google's servers, so those requests wouldn't be counted.
Additionally, other page elements could be logged, like JavaScript, CSS, video, and Flash, according to another.
But if you're indeed curious to the extent of these views, you could always do a test with Google Analytics, as JohnMu proposes:
Google Analytics runs as Javascript on your page, it runs on cached pages as well ... but does it count visits from the "wrong" URL? It should be easy to test
If someone does perform this test, I'd love to know what you find.
Forum discussion continues at Cre8asite Forums.