I think the issue with oxbridge is every top student applies there, it's hugely competItive. I'm not sure of the actual stats but it's something like 80 percent are rejected because so many applicants versus places.
My daughters school recommended her to apply, she elected not to, because she preferred another uni, which was one of the high RG ones. I didnt get involved other than to listen to her but let her make her own decision.
She's just come out with a first in law (stealth boast) so was the right choice. It's important they understand the teaching style and what it's like at a given uni, before deciding where to go. Had she decided to apply there was certainly no guarantee she would have got in, it could overwhelmingly have been a no.
That's why threads like this are always a bit of a concern. When a student is deciding where to go, but they don't even know what they want to study, have never visited or spoken to them, then it indicates something is off. The focus should be on what degeee subject, why, career path, a level choices,and then the actual uni should be based on the degree choice, where they fit in, and what's the right choice for their subject.
The ops daughter seems more focused on where rather than what at this stage, and that's not ideal.