Price controls create lower prices for open and legal transactions-- but also black markets where the prices are higher than they were before, because the risks of punishment for illegal activity has to be compensated. Price controls also lead to shortages and quality deterioration.
But politicians who take credit for lower prices blame all these bad consequences on others. Diocletian did this in the days of the Roman Empire, leaders of the French Revolution did this when their price controls on food led to hungry and angry people, and American politicians denounced the oil companies when price controls on gasoline led to long lines at filling stations in the 1970s. It is the same story, whatever the country, the times or the product or service.
The self-rationing that people do when prices are free to convey the inherent impossibility of any economy to supply as much as everybody wants is replaced, under price controls, with rationing imposed by government, which cannot possibly have the same knowledge of each individual's circumstances and preferences-- least of all when it comes to medical care, where patients differ in innumerable ways.
Here, as elsewhere, there is no free lunch-- even though politicians get elected by promising free lunches. A free lunch in medical care is one of the most dangerous illusions of all.
Waiting in long gasoline lines at filling stations was exasperating back in the 1970s, but waiting weeks to get an MRI to find out why you are sick, and then waiting months for an operation, as happens in countries with government-run medical systems, can be not only painful but dangerous.
You can be dead by the time they find out what is wrong with you and do something about it. But that will "bring down the cost of medical care" because you won't be around to require any.