This is a very dangerous argument that smacks of outright Tory boy thinking.
I am a taxpayer with no children yet I have to subsidise schools, I have to pay a mortgage yet I still have to pay tax so other people get a council house and so-on ad nauseum
The whole point of paying taxes is that the cost of paying for society is based on people's ability to pay not what services they use.
Parking charges are just part of the cost of running a car along with fuel, insurance whatever, I probably could manage without a car but my life would be vastly more complicated, every journey would have to be carefully planned and would take far longer, I would have to stay away from home for work much more often.
It's just so much easier to have a car and accept that it costs me money to do so.