I never claimed student fees pay for stadiums. I think you did not understand what I wrote. I claim that stadiums are built by taxpayers (at public institutions) and that expenditure is not part of the calculation of the alleged profitability of sports programs. Built by taxpayers in the form of bonding bills usually. As I understand these things.
https://www.ibtimes.com/college-football-public-universities...
Since you refuse to even do a small amount of research into this, stadiums and capital expenditures are vastly funded by alumni donations. Unofficially that is the biggest metric for athletic director success.