"Surely you are not so naive as to think schools suggest students apply randomly to various institutions that the school were unfamiliar with surely? "
Well, it's what I did - from an (at that time) highly academic girls' school with a good record of Oxbridge entrance. I went through the prospectus, decided on my priorities (small, mixed, lots of NatScis), selected a college on that basis, applied, was interviewed and got in.
The school knew enough about 'the Cambridge admissions process' (at that point, 4th term exam and interviews), to prepare me adequately. They knew that there was no way that any 'personal connection' would get me in ahead of someone who deserved it more, so there was no point in pointing me towards a college where any such personal connection existed.
The only slight tussle I had was over singe sex vs mixed, coming from a girls' school - but that was rapidly resolved.