How have the courts interpreted consent in cases where officers asked for access to a suspect's room without the consent of the suspect?

A case in point is Honig v. United States, supra. There, one federal agent and two police officers went to the suspect's room. After being invited to enter, the officers informed the suspect of the complaint against him and asked for identification. When he answered that he had none, the officers asked if he would mind if they searched the room for identification and he told them to proceed. The court held this to be an effective consent.