The Church’s teaching is that human nature is both body and soul. In more philosophical language, we have this idea of man being a “rational animal”.
The danger with putting too much emphasis on the body as “object” and the soul as “spiritual”, is that we may be led into the error that human beings are spiritual souls only and are simply carried about by material bodies, and that, in the end, the material will be discarded and we will be spiritual entities only.
I would say that the right relationship with other human beings should recognize that the other is both body and soul, a unity that should not be separated. Therefore, the body of the other carries the same dignity as the spiritual soul of that person (e.g., which gives us intellect and will), and so our interactions with that person should give just as much respect to the body as to the soul.