If they're both automatic-transmission trucks (NAW4 is an automatic code), I would say that the chip will work with either PCM.
However, if it gives you peace of mind, by all means, swap them out! It's not that there's anything wrong with a reman. In all honesty, a lot of the cores that people send parts houses when they buy new PCMs have nothing at all wrong with them.
People are WAY too quick to suspect a PCM problem right off the bat and replace it just to find out that it didn't fix the problem.
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