From ChurchLeaders:
Yes, there are stories where people walk away. But the major note of the New Testament mission seems to be Jesus captivating people with his good-news bringing as he calls people to himself. For the most part He doesn’t start with “naming the sin” but captivating with love, hope, goodness, rescue, etc. If this is the major emphasis I believe it would do us well to ask the tough questions of our preaching. Am I preaching Christ as compellingly as I’m preaching sin? Am I being as clear about the good news as I am naming sin?
“They left church because they wanted their sin” doesn’t necessarily mean you’ve been a faithful gospel (good news) preacher. It might mean that you’ve actually not preached Christ as beautifully as He is, and so the sin still looks more precious. Not always, but maybe.