My perception is that being a BL is a form of disability - like being deaf or crippled or schizophrenic. Which is not to deny that it's wrong behaviour, just to put it into context.

At another level it's just another form of temptation. This is where society and parts of the church get lost: they haven't internalised the reality that being tempted is not to sin. Everyone is tempted in some ways; we just happen to be tempted to do something which others find DEEPLY horrendous, totally unattractive and downright worrying (for the children in their family). So they make a disproportionate deal about it.

I have a strong suspicion that it's actually right to take the story of Jesus and the woman taken in adultery, and apply it to paedophiles:

"At dawn [Jesus] appeared again in the temple courts, where all the people gathered around him, and he sat down to teach them. The teachers of the law and the Pharisees brought in a man caught in bed with his YF. They made him stand before the group and said to Jesus, “Teacher, this man was caught in the act. In the Law Moses commanded us to stone such people. Now what do you say?” They were using this question as a trap, in order to have a basis for accusing him.

But Jesus bent down and started to write on the ground with his finger. When they kept on questioning him, he straightened up and said to them, “Let any one of you who is without sin be the first to throw a stone at him.” Again he stooped down and wrote on the ground.

At this, those who heard began to go away one at a time, the older ones first, until only Jesus was left, with the man still standing there. Jesus straightened up and asked her, “So where are they? Has no one condemned you?”

“No one, sir,” he said.

“Then neither do I condemn you,” Jesus declared. “Go now and leave your life of sin.”

[From Jn 8:2-11 - adapted! In the culture where Jesus lived, adultery was the most unacceptable sin. I suspect that only the woman was held to be responsible because men were just the victim in the situation - see Proverbs 7:6f, a bit like the way it's assumed the victims of paedophiles are always wholly innocent]