BUSTED. This is not the case at all! If you publish your book as OA then an important benefit is that you can retain the copyright of your work. Then there are a variety of licensing types which can provide you the control that you want, and we’re here to shed light on these.
From the OAM Group’s engagement events and fullstopp’s data analysis, we can see that many academic researchers do not feel that they know enough about licensing arrangements. For example, when surveyed, 83% of academics (370 out of 462) felt they did not know enough about CC licenses to make an informed decision about under which license they should publish an open access book (Fund et al, 2019). From Open Access and Monographs: Evidence Review.
Here are the options, and their basic explanations, so you can make an informed decision about OA and which licensing option would be right for you (from Taylor & Francis Researcher Survey October 2019):
Taylor & Francis Open Access Books are normally published under a Creative Commons Attribution-Non-Commercial-No Derivatives (CC BY-NC-ND) license. We understand authors and funders may have different requirements which is why we are committed to being flexible on the specifics of the Creative Commons license for your OA book or chapter. We can offer alternative license types based on funder and author needs! Discuss these options with your editor when you apply.
Full details of Creative Commons licenses are available here.