Part of the reason people are misunderstanding you is that terminology got abused a little bit upthread.
"I just always assumed that all the variables present in a closure are maintained" should really be (something like) "I just always assumed that all the variables present in a scope that produced a closure are maintained". You're right that a closure only needs to contain the variables that are closed over, and that some of those variables are scoped such that they can appear in multiple closures.