When one gets into the teachings of the historical Buddha (the discourses of the main Nikaayas), into what the Buddha really taught, one can find both or neither: the Bodhisatva and the Arahat. So there is no need to get meshed with the presumptuous achievement of the "glorious Bodhisatva" who in contrast looks, with a hint of contempt, "at the barren Arahat" when one follows the teachings of the historical Buddha. Traditions understood as quoted in the OP are the same as "me", "I" and "mine"... of course, in a subtle way.