You have not met that burden. Not even close.
The best case is a mixed environment, with a for profit portion that can address clear for profit cases well.
And those exist!
But, doing that sans a robust system that actually just delivers health care to sick people is crazy bad policy.
There is another argument in your favor out there, and that is consistent, transparent pricing. Or "Equal Pricing"
In Singapore, there are no real surprises and people have options that don't cause them to trade, homes for example, to get sick people they care about healthy again.
Here? Nothing but surprises!
And frankly, that being the case actually does support the difficult argument:
If making money is the priority, then making sick people healthy isn't.
On the other hand, if making sick people healthy is the top priority, and then we talk about money?
Very different scenarios.
The US is firmly entrenched in the former. Examples of the latter exist in the world and perform well.
The profit motive matters. How it's framed, what priority it has, and more all do contribute to the overall effectiveness and again that cost and risk exposure.