I'm not sure from what you wrote that we have the same definition of metaphysics. I'm referring to a specific branch of mainstream academic philosophy. [1]
I think we do. "Metaphysics" refers to both the branch of philosophy as well as any particular system of metaphysical beliefs. We all subconsciously (and sometimes consciously) carry around a metaphysics in the latter sense.
1. https://en.wikipedia.org/wiki/Metaphysics