Well let me see. a H model is basically an E model with more powerfull engines and lots of nicer things on the flight deck. However for the purpose of your question they have the same limitations. Much better aircraft, many consider that they were the best model C130 made.
Our RAAF H models are getting tired and have been flogged greatly mainly because of our customer the ARMY.
In my log book I see many sorties which turned into 16 hour flights because of head winds.
Now if LM had addressed the centre section fatique life early in the program we would not see basically good airframes just sitting because the fix is sooooooooo expensive.
With the exception of a few USAF aircraft which were built to consistantly work at !75,000 AUW the centre section did not change in design and life limits, from the A model through to the J.
Regards
Col