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I think you're making a very blatant "correlation does not equal causation" error.
Yes, that's possible. However if the introduction of fees had been followed by a reduction in "disadvantaged students" applying, I doubt you'd still assert there was no correlation. I'm not crying "Yay for fees" as @hoefla said. I'd like Angela Eagle to be challenged on her vote for fees if she's part of a leadership campaign.
I think you're making a very blatant "correlation does not equal causation" error.