I believe they have always had this policy, though it wasn't particularly well enforced when they opened up the platform to all comers. I actually had a Facebook account before I even first got a mobile phone at all, back in 2004 when you needed a .edu email address to sign up, which just meant they were delegating identity verification to the university. I think people were fairly comfortable with it back then because the only other users who could see you were people from the same school and it just mimicked the physical "facebook" that universities already published and made available to everyone with directory listings including your official photo and the phone number and room number of your dorm if you lived on campus. There was no open network. You could only even search for people from your own school.
Obviously, the platform has radically changed since then, but they have gotten a lot of mileage out of the illusion that you could freely share what you wanted because the only people who were going to see it were people who already knew you anyway, which was at least somewhat true at first.