mj is right, the assessment days are mostly gimmick.
They go through all the tests, but ultimately far more pass the computer / teamwork / discussion / (sim?) / interview than can afford to go. Ultimately the deciding factor is financial, rarely anything else. If you've failed the assessment, you really shouldn't be anywhere near an aeroplane. But passing doesn't necessarily mean you're the next sky god. In my opinion it means that you're good enough for them to want your money.
If a school is running low on potential students, all they need to do is reduce the pass mark, or score more generously on the subjective tests.
I know this is cynical, and I'm sure various posters will try to assure me that this isn't the case. I'm not anti Integrated, for those who are privileged enough to be able to do it. Fair play and good luck to them - I have a friend studying with a big school right now.
Fwiw I passed the assessment for the same big school with flying colours (!) but decided the financial risk was too great.