Changing gears would help get you back into the powerband of the motor at certain speeds, lower EGTs and make it easier on your motor and trans. Overall less strain on the truck to turn the bigger meats.
Personally....with 37" tires, I'd stick with 4.30 gears
I run 4.56s with my 38s.....much better vs. the 38s with 3.73s. I used to have to click the O/D off at lower speeds to keep from lugging the motor too much and to keep the EGTs down. I definately think it was worth the expense....saved on install since I installed them with a buddy of mine (did ARBs at the same time).
Hope this helps.