I have no idea what pseudo-intellectual discourse this is trying to be but the phrase "X lives rent free in my head" means only that "I think of X a lot because I enjoy thinking about it". Nothing more.
In addition, it literally says "rent free". There's nothing intellectual or pseudo-intellectual about reading the phrase "rent free" and concluding that the information does not pay anything to live in your head. This is basic reading comprehension.
JFC nothing pays rent to live in your head. I don't see the point of analyzing something so literally, completely sidestepping the content of the article in question.