No, clearly an invitation up to a girl’s apartment on a flimsy excuse + an explicit prohibition on sex = she wants to fool around a bit. Maybe she does want to have sex, but she doesn’t want it to be her idea.
I don’t know what you are missing here. You know that apartment = sexy time. Are you not aware that women often use “I don’t want to have sex” to establish a limit, and that this phrase doesn’t mean no hanky panky? Or that some women want to have sex but they don’t want it to be their idea?
This is how it looks to a guy:
She didn’t have me call a cab when:
(1) We finished eating/drinking
(2) The check came
(3) We paid and got our change/CC receipts
(4) The waiter told us they were closing
(5) The restaurant actually closed
(6) We walked out the door of the restaurant
(7) We got to her apartment building
(8) We got into her apartment
Ergo, she wants me to be in her apartment. To conclude otherwise would require him to think his date has the problem solving skills of a drug addled golden retriever.