In your examples though AP you are paying for a product and a service from private actors who are making a profit out of it.
Public services is very different IMO. You are not paying for a product/service, you are chipping in for a collective service.
And public services are not there to make a profit.
It's not paying taxes that gives you a voice in a country, it is being a citizen (and one could argue that long term resident should have their say too).
I guess I see your point but IMO it's a fruitless argument.