And there it's quite common for Edinburgh and Bristol to reject a candidate who is accepted at Oxford.
Certainly that was the case for my SD (now a medic at Oxford), but Edinburgh is looking for something different in the Personal Statement than Oxford, who have a very strong research bias (just like my DS!), and DS statement was written with Oxford in mind. A very strong UKCAT and BMAT, a lot of academic extracurriculars, with all the usual social, w/e and volunteering boxes ticked... resulted in one offer and one space on a waiting-list.
Anyone applying to Medicine these days need to be aware that it is really, really hard to get an offer at any uk medical school, and they need to apply to the universities whose entrance requirements match their strengths/weaknesses... yes, almost perfect academics are required by all Med Schools but there are a lot of subtle differences (an example would be, don't reapply to Edinburgh unless you have very carefully read and understood how they score the academics of re-applicants, as you could be wasting one of your 4 choices.)
Fewer than 40% of applicants will get ANY offer from any of their 4 choices in the first cycle of application (places in medical schools are strictly regulated and numbers have been cut at the same time that there has been an increase in the number of applicants) - it is becoming more common to have to apply over 2 (or more) UCAS cycles to get a place, which is still a better option than graduate entry to Medicine (even tougher to get in that way).
As to cost - it's cheaper for DS1 to live at Oxford (in college), than his sibling in Edinburgh - however, DS1 is not allowed to work in term time (had to sign a document to that effect), and Oxford term ends a month later in the summer than all the Unis close to us, which means a dearth of summer jobs for DS to apply to...