Someone admitting or confessing to something can mean:
- You want to know the truth regarding that person, or a situation relating to them
- You suspect in real life that that person may not be what they seem, or may not be telling the truth
- You'd like that person to be honest with you
- You're afraid that person will be honest with you
- You want peace or harmony with that person
- You want everything to be out in the open between the two of you