If someone claims to be scammed by a verified address then the victim has a legal recourse to subpoena the account details. The courts decide if there was actually wrong doing. Private account details would never be released without following the law. In the future, disputes over small matters between two verified parties might be able to take place through mediated arbitration outside of the court system.
The security you gain is that if you get scammed by a verified address you have a much better chance of finding the person who scammed you. Thus, people with verified addresses are less likely to scam in the first place. They can be held accountable for their actions. It also saves us from having to send a copy of our ID's and utility bills to 10 different web sites and it saves those sites the trouble of dealing with that information.