It is. Any claims otherwise - capitalist propaganda not rooted in reality. Having said that, nothing is perfect and issues arise, but yes, as a general and reliable rule of thumb, a lot of money in the private sector simply goes into the pockets of the capitalists, which is wasteful.
Capitalists indeed have bottomless pockets, as you yourself noted (2% pay 40% of taxes, according to you), but they don't like investing if they can't guarantee returns. So say goodbye to experimental technology. If it was up to the private sector, we'd keep on sucking and shoveling oil and coal out of the ground for all eternity for power.
You realize that government hands taxpayer money to those capitalists to build roads and schools right? Fuck you're dumb.
Nice chart. Consider for a second that there are 100 other factors contributing to life expectancy besides healthcare.