Logging out = hiding stuff?

I don’t care to sit there and read every detail of my boyfriends messages. However, he thinks that because I don’t want him to log out of his accounts on his phone that he is accusing me of reading all his messages, when that’s not the case. I don’t think he should log out because if he trusted that I wasn’t reading it and he had nothing to hide he shouldn’t need to log out. People who log out do so so people don’t see what’s on there right? Opinions please.