Dorcas, I think you raise an excellent point. Of course, it gets tricky sorting this out when love can mean just about anything - through our chronic casual use of the word.
I get the overall impression from the epistles that Paul is deeply concerned that the believers love (ie, care) for each other first and foremost. It is the essential glue of the Body – it preserves and strengthens it.
In other words, if I stab my brother, I damage the entire body, including myself. If I love (ie, build up, etc) my brother, I strengthen the entire body.
If we have a weak Body caused by defficient love, we also have a weak testimony. I’d say that our love for the lost is reflected in our love (ie, care/nurture, edify, etc) for each other. After all, the Body is the light of the world.
PS, as I browse for a verse, I realize that you could encapsulate just about any Biblical admonition with the words “love one another”.
“Father, make us one, that the world may know thou hast sent thy son.” Jn. 17
Live as children of light (for the fruit of light consists of all goodness, righteousness and truth” Eph. 5:8
Now, that was sure easy to say....... but doing?
Diane