I see this a lot in here. People who choose to go to one of these say at the start, "I will be applying to Oxford or Cambridge" or say, "I will be visiting Oxford and Cambridge". This, to me, suggests that the candidate isn't particularly arsed which one they go to, so long as they get into one, that's all that matters because it's something to slip into coversation over coffee. They aren't picking it for the course, for it's location, the people, the social life, whatever. They choose it for it's name.
I guess this is more of a rant than anything else because the majority of people don't commit to a choice, they plan on going to either. It could be argued that this could be compared with any other two universities, however, the point here is that you won't get two universities so closely compared, for example, not many people say, "i'll be applying to UCL or LSE", they usually make a choice then and there even though they could apply to both. With a lot of Oxbridge hopefuls, they always mention both even though they can only pick one at the end of this day which is a bit ironic
When you were applying, did you also use "and" instead of picking just one? Hearing from current and applying students would be great