Well no, because that's the key difference between medical care and getting your car fixed.
It's only a key difference if you make it that.
That is not always the case when it comes to medical care. If you are dying of a heart attack you don't have time to shop around and engage in price comparisons like you can for auto repair. Sadly, capitalism just does not work very well for health care due to the inability of people to forgo treatment and the difficulty with predicting total costs.
You'll love real laissez-faire free market health care, btw. Are you prepared to hire a lawyer to read through the 1000 page health insurance contract so that you don't miss that clause on page 712 about how if you had acne when you were younger the insurance company can unilaterally rescind your health coverage if you are diagnosed with cancer?
The free market dogmatists who lamented the possibility of medical death panels under Obamacare (while conveniently (or perhaps ignorantly) ignoring the pre-existing death panels currently in place at private health insurance companies) have no clue what they would be in for under real laissez-faire capitalist health care. They envision a world full of well-meaning, ethical Howard Roarks, Kira Argounovas, John Galts, and Dagny Taggarts when in reality it would also be chock full of Floyd Ferrises, Peter Keatings, Ivan Ivanovs, and Wesly Mouchs searching for innovative ways to legally rescind your health insurance contract.