The heart of the argument made in the article is that somehow, by unbundling services that were bundled, airlines are somehow able to raise prices above what they were otherwise able to do. I don't think that's true at all.
I mean, I sure like a pop and a box of chocolate-covered raisins when I go to the movies. Therefore I demand that all movie tickets include food.
I like to watch streaming videos on my phone. Therefore I demand that all phone plans include unlimited data.
I like big comfortable seats and laptop plugs when I travel on the inter-city train. Therefore I demand that municipal buses include these things.
You see where this goes?
And US healthcare is totally not the same. Firstly, the majority of US healthcare expenditures are tax-funded, about 65%, mostly through Medicare, Medicaid, tax subsidies and other programs. Secondly, it is effectively cartelized by the government, through incentives that make it extremely tax-advantageous to get healthcare through employers, to limits on the training and numbers of doctors that drive up prices, to now, a system of exchanges that require that people purchase insurance from approved insurers at government-set prices. It is so, so incredibly far from "everyone pays for his own healthcare through a system of private insurers".