What inspection packages commercial airliners follow which make them more reliable than a C-130?
As mentioned, factors like a different mission are much more likely to be a reason for any difference in reliability. Military aircraft often fly a harsh mission, the pilots don't fly to extend life, they use max power on every takeoff, fly at a high power setting, and run the engine closer to its temp limit. They aim to get there fast, and the C-130 flies into dirt strips, where the dirt gets ingested into the engines. In comparison, commercial airlines operate with a very close eye on the bottom (financial) line. They take-off derated if they can, and fly with a very simple cruise profile. They do not perform high speed tactical descents that a military C-130 would, into an airport possibly surrounded by hostile forces with air to ground weapons.