Yes that definitely is the classic!!! I'm not sure how Vodka got in the picture. I think after drinking the classic nobody would ever want the vodka one. Something else I don't understand are all these drinks that are called martinis now that are made like the Appletini, etc., etc. Those really aren't martinis in my opinion.
Tell you what, Jack, I don't drink any of that stuff--I'll stick with scotch, maybe a little Black Jack now and then--but to my way of thinking, if it isn't gin and vermouth, then it's not really a martini, regardless of what people call it.