Our needs changed over time. When the kids were young and we were in a PU, we wanted space and privacy. As we got older and camped in TTs, the need for provacy waned. Although we still do not want to be on a site that literally has our awning extended out to the back side of the RV in the next site over.
Sometimes we look to boondock - other times we want our TT to be a vacation home with all the amenenities.
I would not be against breaking it into two categories - public vs. private, but even those distinctions point out inconsistencies depending on where in the country you are. For instance, here in NJ the state CGs do not have any utility hookups, whereas other states have varying degree of utility hookup availability.