Being able to be part of Adsense and ranking for search terms are completely different things. And even if everything were integrated, the bar for kicking some

Being able to be part of Adsense and ranking for search terms are completely different things. And even if everything were integrated, the bar for kicking somebody out of Adsense would be much higher than demoting somebody in the rankings. Kicking people out of Adsense also is much more permanent, because Google has all of the person's information so they can easily block future attempts to signup if they kick you out. The #1 thing Google is concerned about for search is webspam. The #1 thing they are concerned with for Adsense is click fraud. So in this situation, we probably have a) a site which gets little traffic because google search has detected it is webspam and b) a site which makes little money because it gets little traffic, and c) doesn't engage in click fraud. Therefore, it still is a member of Adsense, but gets no search traffic in google search.