I would say the first two are fairly accurate although The New Yorker is a bit of a "when in Rome..." thing for me. The rest however are a bit of a mystery. I have viewed anthill online but never purchased, have no idea what Lula is and wouldn't bother with the celebrity focussed InStyle.
On the topic of Mag Nation - as a frequent visitor I often wonder how such a fabulous concept could in reality make a living. People seem to treat it like a library, spending hours reading all their favourite mags in one of the chairs only to then dump a man-handled pile on the floor and leave, perhaps buying a coffee or two on the way. Is this sustainable? I know as a purchaser and mag hoarder I prefer to buy an unread copy complete with no rips!