I find it contradictory too.
Honestly, for the benefits of the girl, my personal opinion is that it is better for her to attend a different school.
I do not have a daughter and do not know how her parents actually think about this situation. But I do know a few cases about how the first generation immigrant parents who raise Asian Americans daughters may “behave”.
Case 1:
The couple are about OP’s and his GF’s age. Both are Asian Americans who grew up in American. When they date each other in their high school senior year, the girl’s parents by and large only allow their daughter to date either at school (during break) or in girl’s house or their relatively upscale neighborhood. They are not allowed to go to the movie in the evening by themselves; but a “group date” at the same place is fine. The girl is not permitted to go to the boy’s house – the boy’s parents respect the wish of the girl’s parents so they will not let them “date” in their house. Also, the girl’s parents prefer that they do not date too frequently. It is the best that they meet with each other once every other week – and the default place is in the girl’s family room. The girl’s parents are not against this relationship at all; they just prefer that the relationship progresses more slowly.
Case 2:
The couple are first-year graduate students who live in school’s dorm. They just start their relationship (less than 2 months.) The girl’s parents visit the girl during a break (and pick her up to drive her home.) The girl asks the boy not to be seen by her parents while her parents are there, for whatever the reason it may be, even though she regards him as her BF at that time (at least the circle of their friends on campus think so.)
Case 3:
The couple are about 25 yo and have been in the relationship for almost a year. They live at school’s dorm but the girl lives on the “girl’s floor”. (It is a surprise to me that there is even a “girl’s floor” for a graduate student dorm. I thought there is such a dorm room arrangement only for freshman students – BTW, without such an arrangement (i.e., girl’s floor), in one year, a girl’s parents actually sued the school because the school requires all of their freshmen to live on campus in their freshman year.)
Occasionally, the BF would visit the girl in her room. However, whenever the girl skypes her parents, she would ask her BF to be “out of the camera view.” This is the case even when they have been in the relationship for a year and the girl’s parents are not against this relationship.
Case 4:
The couple have been in their relationship for just half a year. However, they are almost 30 yo. The young lady’s parents are aware of their daughter’s relationship and are not against it. When she skyped her parents while she is in her condo (she owns the condo) and her BF is in her condo, she asks her BF not to be in the view of camera.
To be sure, the case 4 is for a Persian, not for someone who is from the east Asian.
What do you think the GF’s parent’s true intention may be when they prefer their D to go to another school (e.g., UVA)? I do not know for sure, but I just raise another possibility: they may prefer that their relationship progresses more slowly!