The statistics that the EU has on average a higher lifespan than the US seems to exist. Determining causation is more complicated and I don't think there data to prove that causation.
The shorter lifespan of the US is due to
Smoking habits - 50 years ago
Obesity
Racial differences
Trying to link them to healthcare provided is just propaganda.
http://www.nap.edu/read/13089/chapter/12
