Directly? the answer is who knows. Overall though I think you will be hard pressed to find someone who understands SEo in depth that would argue that google analytics data has no affect on organic listings
I agree with OWG. Also, with link building being so widely abused Google has to be looking at ways of improving their results. The info in analytics especially bounce rate has to be worth a look.
i have heard of GA being one of the best ways to get your site indexed in Gogle quickly.
I personally use several other techniques including blogs so could not say for sure if it helps or not.
Am totally with OWG though on this.
Use their tools and they must know about you in their databases. Don't use them and you will need other ways of notifying them.