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I know the two bots are completely different in their roles but would like to know if they share info on the existence of pages. Also, I'd like to know whether the section I don't allow Googlebot in will be penalized by AdSense into showing only charity ads.
If you currently exclude all bots from those pages, the AdSense bot WILL obey your robots.txt and not index those pages, resulting in those pages only showing PSA ads.
Word from Google is that using AdSense doesn't affect results in the Google index.