At least concerning Richard M. Stallman's take on this subject, this characterization is completely wrong.
RMS certainly does not consider the difference between open source and free software to be merely one of 'emphasis.' According to him they are completely different animals. Here are his words on their difference[0]:
> 'When we call software “free,” we mean it respects the users’ essential freedoms: the freedom to run it, to study and change it, and to redistribute copies with or without changes (see http://www.gnu.org/philosophy/free-sw.html). This is a matter of freedom, not price, so think of “free speech,” not “free beer.”
...
Nearly all open source software is free software; the two terms describe almost the same category of software. But they stand for views based on fundamentally different values. Open source is a development methodology; free software is a social movement. For the free software movement, free soft-
ware is an ethical imperative, because only free software respects the users’ freedom. By contrast, the philosophy of open source considers issues in terms of how to make software “better”—in a practical sense only. It says that non-free software is a suboptimal solution. For the free software movement, however, non-free software [including non-free open source software] is a social problem, and moving to free software is the solution.'
[emphasis and square brackets mine]
It's not that RMS 'prefers the term "free software" over "open source"' but that he prefer software be free instead of non-free. The source being open is just an incomplete precondition for being free.
[0] https://courses.cs.duke.edu/common/compsci092/papers/open/st...