My theory is happening in the past. Mado's dad died in car crash,and her mother went insane,so the social workers (toriningen) are in front of the door in Mado's room, that's why she doesn't want to go out. She dreams in hope she will find an escape in there.Mado was homeschooled, she wasn't allowed to leave her house at any time.
Poniko was Mado's vision of a friend, as she never had any.She was just a random person she saw outside, but her parents were ultra-proctective and told her how friends really are (uboa).
Seccom-Masada was her was her vision of a perfect man.Somebody who would do anything for her,be romantic and emotional.But her parents are there to ruin everything, telling her that she can only find a man like that in bed.
Monoe was Mado's memories when she was happy. Even when she was alone, she would find something to make her happy.
Kyuukyuu-kun and THE FACE, well, everybody will hear the story about the birds and the bees once in a while.
The Mall is her vision of school, as her parents told her so.
The Teleport maze always reminded me of a TV quiz,maybe her TV actually caught something?
Sounds like a well thought out theory…
Why a car crash?
Because stoplight effect and Shitai-san.