Is "Medicare for All" and "Free Health Care" the same promise?

I hear both slogans on the emerging campaign for 2020.

The payroll tax deduction for Medicare is currently 2.9%

My uncle (my late Dad’s brother) just went on Medicare. He still works and does well. He told me his Medicare premium plus drug package is over $400 per month. He buys a supplemental policy to cover what Medicare does not. He pays close to $200 for that. Thats just over $600 per month, on top of the payroll tax he has paid.

Not that it is as much as non Medicare recipients pay.

But it isn’t FREE either.

So I am curious if the people promising Free Health Care are offering a better deal than people promising Medicare for All.