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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.
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Of course, because that would look like something that may have a statistical relationship!
It's entirely possible that there are fewer people from particular backgrounds going to university than there would have been without the raise in fees. That the uptake we have seen is due to other, more reasonable, explanations.
What is unlikely is that a increase in cost would result in more people with less money going. Unless there is something key (a variable) which I'm missing.
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hoefla
I think you're making a very blatant "correlation does not equal causation" error.