Very well it seems! Publisher, Springer Nature, in collaboration with Collaborative Open Access Research & Development (COARD), have produced a white paper drilling into the data to reveal what we intuited but now know. Open Access books are downloaded more widely around the world than their non-OA counterparts and are cited on average 2.4 times more often.
There is a downloadable infographic showing the results of the Springer Nature and COARD study.
While the location of the white paper of the same study is:
Some key findings from the Springer Nature-COARD infographic:


For more context and links to other Springer Nature studies on the use and effectiveness of open access books and the motivations of various book authors please go here.
Book title image:

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