I would be a little suspicious. The federals absolutely hate any food product that has not been pasteurized. In Europe, the bacteriophobes in the government are so extreme that they for a time demanded that cheeses like Brie be pasteurized, which of course would destroy them.
http://www.ncbi.nlm.nih.gov/pubmed/10049198
In 1996, some unpasteurized apple juice was found to be contaminated with E. coli bacteria, normally associated with meat, but attributed to a herd of deer that inhabited a large apple grove.
(N.B. Normal strains of E. coli are essential in the lower intestines, but very bad anywhere else in the body.)
As of now, the FDA only requires that unpasteurized juice be clearly labeled as such and tested frequently. Here is an interesting and detailed explanation of the rules. It even mentions ultra-pasteurization, which many healthy food types regard as an abomination, but for example results in milk that can last for months without refrigeration.
http://www.dairyengineering.com/applejuice.asp
Oh, and Simply Apple *is* pasteurized.