Help me understand the point you are trying to make. Are you trying to hand-waive categorization as superfluous to developing broader understanding?
Natural satellites fall within the primary body's Hill sphere, where the gravity of the larger mass dominates. The Earth/Moon system co-orbits the sun. Saturn has two satellites that orbit each other, and that system co-orbits Saturn.
I've often thought that 'clearing' it's orbit is misleading. I believe the definition ought to be changed to 'controls' or 'governs' its orbit. This allows for objects in stable L4/L5 locations without inviting the caveats that 'clearing' needs.