Why does the fact that most Americans qualify for some aid make the Yale's 55%-on-financial-aid stat a red herring?

(I suspect that, in what I write below below, I must not be responding to your actual point, but can you clarify what your point is?)

It's not like Yale is giving lip service to aid - it's giving $92,000,000 annually. This means that, on average, each Yale student gets $17,700 per year.

But since we know that 55% receive financial aid, it means that among those who do receive aid, the average package is $31,000 per year.

55% of Yale students get almost their entire tuition paid for by the university. This is not counting outside scholarships, etc. This isn't just "some" aid - this is a huge amount of aid on an annual per-individual basis.