Hoping for the free market to resolve your problems is hazardous. Your logic works well enough for local clinics (liberal logic tends to do okay the more localized things are), but remember that doctors are at the mercy of hospital policy and furthermore patients are at the mercy of insurance policy. It is probably already an element of the plan for Republicans to use their levers in other states to pressure insurers not to cover abortions, and then suddenly that means abortions are either not viable or the problem of the danger of back alley abortions is replaced with the problem of medical debt.

What Ohio did was good, but it's not huge and some of the problems with it are foundational to the capitalist mode of production.