There is a definite chain of events that happen when it comes to love. The last link in the chain is that we love others. Back up on, and you get that we love God. And then back up to the beginning and you find that God loves us. Put it in reverse order and you find that God loves us. We love God. And we love others. Though they fit in concert with one another, the order matters, and it matters greatly.
Yes, love for others is important. Vitally so. And yet it is not the most important thing. To treat it as such is to get the cart before the horse, and will always end up in an exhausted supply. But when the chain is linked? When our love for others is flowing from the truth of God’s love for us and then our love for Him? That is a chain not easily broken.