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Googlebot will notice and crawl anything that it recognizes as an URL, but that is not the same as passing PR. I did an experiment a little over a year ago and only anchors passed PR.
Thank you for the response. That's very interesting, and perhaps it wasn't such a silly question after all. Given what you said, are you aware of any downside whatsoever to non-anchored URLs? I.E., would you try to minimize them or are they essentially harmless?