I have some sympathies for your argument, but I suspect you are trying to prove too much: your argument could more or less justify an infinitely large fee for parking violations (or even imprisonment). Most people seem happier with small, finite amounts for these things?

As a second point, I don't think parking and public goods have anything in common. Parking is _not_ a public good, and shouldn't be treated as such. Parking spaces are rivalrous and excludable. (See https://en.wikipedia.org/wiki/Public_good for the background.) They should be provided by the private market just as any other good and service, instead of being heavily regulated and partially being provided free-to-the-user at the cost of tax payers and business owners.