Yeah. Even if a modest donation is earmarked to, say, the athletic department, the school has a lot of flexibility to move unrestricted money from one pocket to the other. For significant even if not huge donations though, schools really would like unrestricted gifts in general.
Seems simple enough to get someone that vain to cough up an annuity to pay for maintenance and some admins for that building, “we’d hate for your building to wind up like poor Jefferson Hall, we can’t even afford to pressure wash it every 5 years.”
Yeah. Stadiums and landmark buildings don't work this way, so why universities diverge is beyond me.
Whoever pays for upkeep should get the naming rights.