I reckon they are called blister packs because of the way they are put together. The plastic is heated until it is malleable, then is pressure formed over the item it is to contain along with the carboard backing vis-a-vis some sort of die forming machine, then the edge is welded together to seal it up. Since the plastic is a smooth sheet before it is heated and applied, it is much like forming a blister over the contents.
_________________________
The ultimate result of shielding men from the effects of folly is to fill the world with fools.
-- Herbert Spencer, English Philosopher (1820-1903)