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Good point, AOG. Of course, they may do, but like you, I at least suspect they don't use psychometric testing. Would Boris pass? Who knows.
The Tories certainly use some pretty tough interviews and these are backed up by some quite odd tests. My ex, having survived the preliminaries, was referred to a voice coach and expert, who heard her apparently perfect RP accent and asked "Which part of the Trough of Bowland or that area of Lancashire do you come from?" Correct. She says "is it not" instead of "isn't it", which only people from there regularly do. No stone unturned !
Rod Liddle himself was tested by psychometric tests. The result said that he wasn't sufficiently driven. Since he had come from nowhere, as a youth, to heading the Today programme as editor and is now a columnist on a top paper, he did wonder how valid the test was