Not really. The healthcare market is a very heavily regulated market, not an unregulated free market. The prices are not a result of there being a free market without regulation, but a product of what is and is not regulated. Both government and insurers take into account the "sticker price" of service in setting their reimbursement limits (they either have negotiated discounts from the sticker price, limit reimbursement based on the general charge to the public along with other factors, etc.)

As a result, the nominal general charge to the uninsured public is generally inflated, but also tend to be very easy to negotiate down.