Can the Detectives Agree to Disagree?

The d a asked both detectives to join them and explain the basis of their decision. Because they do not have an infinite amount of time, the detective's explanation cannot cover every single d information they know. Once the detectives are done, they leave the room. At the end of this will the group disagree in their recommendations? Well, it's the same as before. The group has the same information, so they cannot agree to disagree. Any information revealed by the detectives is common knowledge to everybody in the room. So if either detective does not agree with the group's decision, it must be because of something of relevance in her private information. Now leaving aside the question of why the detective would