If I don't pay for food, I die. If I don't pay for medicines, I die.
Does this then imply I don't have a right to live, because "rights cannot be denied based on the ability to pay"? That I don't have a right to property, because if I don't pay my debts my belongings can be confiscated and sold at auction?
I have a right to appoint my own counsel, but the government won't pay for the counsel I appoint. In order to use that right I have to be able to afford the lawyer I want.
US citizens have a right to run for elected office, but clearly that's not provided free of charge!
Rights are not irrespective or independent of my ability to pay. And if something is a right does not mean I get it for free.