I thought it was well-known that unmodified C-130s (Look ma, no hook!) can land and take off from US-sized carriers successfully. Ergo, in a pinch, everyone will be getting their chicken nuggets and canned corn.
Trying to stand it up in an emergency now is asking for trouble.
You'd have to be in a really dire situation to risk the carrier and aircraft this way.
They're not striking the entire air wing below just so one C-130 can land and take off, and that's assuming a stunt pulled by one elite test pilot was replicable by a bog-standard junior C-130 pilot.