No, a man should not like his girlfriend very much. He has a wide circle of friends, so he can have many friends, which you may not accept. When he looks at the photos of your circle of friends, he is actually looking at whether the opposite sex pays attention to you and excludes potential competitors around him. Therefore, since it is a relationship between men and women, there is no need to think too much. Friends are all personal preferences, so you don't have to be deliberate. Since he chose to be with you, it is natural for him to accept this fact and even like you.