Because the "All Terrain" tires have an extra layer in composition. Lack of that layer, combined with poor quality control at Decatur, Il plant lead to the whole Firestorne-Ford fiasco. That layer helps with the recomended lower pressure (it was 28 initially in 1990, now is 30PSI). That low pressure is driven by roll-over safety considerents.
That's why tire manufactures strongly recomend to use All Terain tires. If you install anyting else and you have a problem, they might be not liable since they advised agains them.