As far as I know, they haven't mentioned Marcus Rediker (or any specific scholars), so I'm speculating here. But I mean -- like you're saying, the connections seem obvious. As far as other scholars in this area, I can't recommend highly enough the Oxford Bibliographies article on Piracy, by Kris Lane, if you have access to it through a university. Failing that, Peter Earle, David Cordingly, Kenneth Andrews, & Jon Latimer are a few people to check out. :)
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Jenny @ Reading the End