I would disagree with the fact that they did not have analysis.
Any split takes two.
Rank left but not until after Freud attempted to keep him, defending him against others in the psychoanalytic circle. The same was true for Jung whom he defended against Abraham his most loyal follower. To castigate Freud as intolerant is weak and, I believe with little foundation. As the father, with all of these sons, rivalry was bound to occur. I believe that it was an interactive process, not just a leaving.