I know that Cambridge has an additional admissions test on top of the A levels, in certain subjects (different tests for different subjects). In fact, some colleges within Cambridge University require one (in certain subjects) and others do not. You can find several sample tests of this type online, and reach your own conclusions about them.
In connection with Oxford, if texaspg’s reference to “their own test” is a reference to this sort of admissions test, that’s not “paperwork.” I suspect the additional test is relatively demanding (just my opinion–you can form your own view if Oxford puts samples online, as Cambridge does). They want the test in order to assess academic capability, beyond the information available from A levels.
I don’t see a point in my prescribing what Oxford “should” do. I know they will admit American students without A levels, because we have a different system. If they nonetheless require an additional, higher level exam (in some, but not all subjects, as I understand the practice in Cambridge), I am fine with their requiring that of American students.
Oxford does not practice “holistic” admissions, though. Their admissions are academically based.
I’m not prescribing anything to Stanford, either. Their admissions staffers can do as they think best. But I will still think it is silly for them to “demand” the SATs, if anyone actually said that.
Did someone from Stanford admissions specifically state that Malala would have to take the SATs, like anyone else, in order to be admitted? I don’t know that happened. If it did, perhaps they are preemptively covering themselves, in case she has no interest at all in going to Stanford. (“Oh, she didn’t take the SATs, so of course we wouldn’t take her.” An earlier poster suggested that if she went to Harvard instead, Stanford could claim that they had stuck to their requirements, and Harvard waived them.)
Also, I think it is inappropriate to suggest that Malala would be trying to get out of a requirement, when as far as I know, she has never shown any interest in Stanford. And when people make guesses about how she would do on the SATs if she took them, I think they are ignoring her GCSE results.