No, it's a consistent argument for those who think beyond themselves; it's good for society as a whole. One doesn't have to believe one personally benefits, that's now how liberals work.
> A good market would be one where you paid your doctor
A good market for healthcare is one where it isn't a market, but a social good provided to everyone, like other civilized countries do. The market is not the correct answer to every question of how to distribute goods and services.