Well it does depend on which love we are talking about. The world's love is powerless to conquer all. However I was referring to God's love which is infinitely powerful and perfect. We are fallen humans so we don't always love the way God would have us to. So yes we fail in trying to love for different reasons.

I would say that the world's love is not perfect at all. So yes you are very correct in that it will not work in that case.