The "unconditional love" of that linked article seems to be "unconditional acceptance." So "love" is now meant to mean "acceptance" or "tolerance" of, seemingly, anything.

Imagine I come upon someone who is abusing drugs or alcohol, much to the detriment of themselves or their family. Am I called to "love" -- accept -- this behavior? Or am I called to "love" them by seeking what is best for them -- which may well entail disapproving of their behavior so they might right their ways?

The Bible's portrayal of God's love is anything but unconditionally accepting of mankind's behavior. God's love -- his desire for what is best for us -- is eternal and unconditional. But there's nothing in the Bible that would suggest he's unconditionally accepting of our betrayal through sin.

Note: Christ's sacrificial death should not be seen as accepting man's sin. There's nothing in the New Testament that suggests that even with Christ's atonement we're free to pursue whatever pleases us. Jesus' words and Paul's writings are full of admonishments to turn from those ways.

The writer's use of the term "love" is fairly typical. The term has largely come to mean either "acceptance" (as the writer used it), or "desire" (as most everyone else uses the term.

I will welcome the alcoholic into the church but don't want them to drive the bus.