Are Mexicans sicker because of socialized medicine?

Writing in Best of the Web Today of the Online Wall Street Journal, James Taranto points out  a devastating fact about Mexico, hit hard by the outbreak of swine flu.  Mexico, which has had about 70 swine flu deaths out of  1000 cases, a fatality rate of 7%  which

is far higher than the 2.5% fatality rate from the Spanish flu pandemic of 1918-19, although the latter was many orders of magnitude more widespread, killing 40 million people world-wide.
 
Why such a high rate in Mexico?  Taranto speculates because the government provides health care"? Or, as he mocks

But . . . but . . . Mexico has socialized medicine!
 
What?!  Is it possible that citizens that have access to "free" medical care, available to all, are actually sicker than those who don't?  Apparently so.  

Writing in Best of the Web Today of the Online Wall Street Journal, James Taranto points out  a devastating fact about Mexico, hit hard by the outbreak of swine flu.  Mexico, which has had about 70 swine flu deaths out of  1000 cases, a fatality rate of 7%  which

is far higher than the 2.5% fatality rate from the Spanish flu pandemic of 1918-19, although the latter was many orders of magnitude more widespread, killing 40 million people world-wide.
 
Why such a high rate in Mexico?  Taranto speculates because the government provides health care"? Or, as he mocks

But . . . but . . . Mexico has socialized medicine!
 
What?!  Is it possible that citizens that have access to "free" medical care, available to all, are actually sicker than those who don't?  Apparently so.