Both.
Now I'm still waiting for an answer to my question: Why should we desire that which God does not, e.g. the salvation of all people?
"It befits us" because we are image bearers of God and the reprobate are still made in the image of God and we are to love them. What does it mean to "love" ? In this sense, I believe it means that it is not my desire that anyone have to face God's wrath and eternal punishment. It is, instead, my desire that all men be saved. However, it is my greater desire for God to be glorified, that His will be done on earth as it is in Heaven.