Those graphs are terrible. Why bother comparing the USA's 95th-percentile prices to the average price of other countries? And why refuse to show any countries that are more expensive than the USA in any category? Very ham-fisted.
For example, in Switzerland, each treatment etc. is assigned a specific number of fee points (Taxpunkte). This is multiplied by a conversion factor to arrive at the cost of the treatment that a doctor can bill your insurance. And that's that. Unless the treatment allows for variations, it will always cost the same.
This should not really be surprising: There is no reason for a single payer system (or a system that's equivalent to single payer) to have multiple prices for one and the same thing. The whole point of single payer systems is that the single payer has the bargaining power to negotiate the most efficient price up front. Paying more than that without need would be a waste of money.
(My objection to the graphs is that the bars are for 25-50-95th percentile, which is difficult to interpret. I'd rather they just gave a four-part 25-50-75-100, or at least a 25-50-75-95 if they can't reliably establish an upper bound, or maybe 5-50-95. Any of those would be easier to intuit.)
Another way to interpret the different numbers could also be simply a question of availability.
For private healthcare without bribes in China, the prices are way more expensive than the states...but what choice do we have? At least I have insurance. Anyways, my experience is only in China.