Well, I'm not from the American dating culture so take this with a grain of salt but... if there was a guy I'd seen seven times in seven weeks, who I never called and who usually only got in touch three or four days after we'd hooked up, I would assume neither of us were serious.
If I was serious, I'd be making contact, and wanting to see him more frequently at this point.
Also, if he was taking three or four days to contact me after a date, and I was only seeing him once a week, I'd assume he wasn't that interested in an actual relationship either (as opposed to 'not needy').
If I was 'legitimately old-fashioned and shy' he wouldn't have seen the inside of my panties by this stage.
The most effective way of finding out what she wants is to just ask her and be honest about what you're thinking. If you have to dance around what you think or want, or measure your actions, you're probably just not right for each other right now.