Is it more true to say that Jupiter (and the other planets and asteroid belts and dust clouds in our solar system) orbits the Sun, and the Sun orbits the barycenter? The barycenter that the sun revolves around is influenced (marginally) by the other bodies in the solar system and not just Jupiter. If the definition of a barycenter is to be interpreted as this image suggests, that would mean that no material object orbits another material object and they instead orbit their collective center of mass somewhere in space.

Edit: to clarify, I understand the physics and motion at play. The phrasing just seems misleading/incorrect to me.