My 2010 had 3. 42's, I regularly towed grossing 30-33,000. At that weight I would drive 55mph, the truck didn't have the power to hold 65. I would run 5th on the flats, 4th in the hills, and usually be in 2nd or third climbing. I manually shifted it ALL the time, the transmission had no clue what to do, dealer looked at it a few times and couldn't figure out why. We even took a new truck off the lot and hitched it up (5k trailer) and ran the same hill to verify that my transmission was messed up. They agreed but still didn't know why.
Anyway, back to my point, the rear end on my 2010 got so hot towing, it cooked the paint off the cover, and subsequently rusted. When I got rid of it with around 20k miles, the cover looked like it was 50 yrs old.
I'm assuming that is why dodge now has the covers with the cooling fins, and hopefully more oil as well.
The taller the gear ratio, the more strain on the gears and subsequently the more heat they will build. Period. That is a mechanical fact that can't be argued. Things can be done to remove that heat such as aluminum covers, more oil, etc. but with all other things being equal, a 3. 73 will always run cooler than a 3. 42, and a 4. 10 will be cooler yet.
I doubt the 3. 42 will have problems since Dodge evidently learned from the rear ends like what I had in my 2010 and went to a beefier unit with better cooling. I've ran semis with 3. 36 gears (some have 2. 92's) and obviously taller tires than we have that never had a problem. Last truck I drove was 1,250 rpm @ 65 mph.