I'm not sure there is value in Rutgers throwing a ton of money to get prime parking, considering that Rutgers owns all the land on the other side of River Rd, which is where the university prime parking is. Rutgers is currently getting $500 to $2500 per car parked in the Scarlet, Green, Yellow, and Blue lots (plus $40-$50 per game). If Rutgers were to throw a lot of money at the park commission, and required a $1000 donation for Johnson Park, I don't know that they'd get incremental people paying the fee, versus just cannibalizing people parking in the Yellow lot.
The people affected by the Park Commission not offering parking in Johnson Park are people who don't have season tickets and people who don't want to pay the fees associated with premium season parking.
The area where football parking was previously offered in Johnson Park holds maybe 300 cars. If Rutgers were to charge an exorbitant $100 per car per game, that is only $210K per season. There is not a lot of money there to "throw a ton of money to the park commission".