So, what does it mean to confess your sins? There at two kinds of confessions. Really only one kind of true confession and we can call the other kind---ADMISSION
Admission of sin and conviction of sin are not the same thing.
A godly sorrow comes when a person is convicted of sin in their heart by the Holy Spirit, and they are humbled, grieved and broken over their sin and will do anything they can to get free from that sin. This kind of godly sorrow leads to repentance without regret because it leads to salvation.
A worldly sorrow comes from when someone is caught is sin or exposed for their sin by another person and then they feel sorry for it and apologize for it. God is not looking for apologies. A worldly sorrow then produces an admission of wrongdoing because someone else exposed the sin and the sinner wants to save face so he admits his sin, but his admission does not lead to a heart change, so the sin will come back again and again.
False Christians also call their sins a mistake. They say since they are not perfect, they just made a mistake when they willfully sinned.