Does deeper axle gearing HELP or HURT the transmission?

I ask this in part because I am contemplating a change in gearing for my Ram 1500.
I'm going to replace the engine since the original one has 360,000 miles on it and is starting to leak. I want to step it up a bit but keep it emission legal. It has 3.55s now but since even the trucks with 20" wheels got a 3.92, the SRT-10 trucks had a 4.10. They had 22" wheels. I have 22" SRT-10 style wheels on this truck.

Ram A 5 (2).jpg

I think the gear change will pep it up a bit.