I seem to have not made my positions clear: The site has a political agenda, which is made clear by the quoted section, which includes statements are selected to support the political policy being promoted.
So, the reason the things I stated matter is that we can easily come to different conclusions, and that is likely why they are left off of the site:
Can't sell health insurance across state borders - fix by permitting sales across borders, putting downward pressure on price.
Insurance is tied to employment because of the tax code - fix by either eliminating the deduction or adding the deduction to personal tax code.
Can't build new hospitals because you have to get permission from other regional hospitals - fix by getting rid of the regulation, thus generating increased interest in new hospital development, in turn increasing the number of beds and putting downward pressure on prices.