I tow my Jayco hybrid with a 2012 Chevy Silverado with the 4.8 V8 and 3.23 gears. It does just fine in Florida where it's flat. The owners manual says I can gain 2000 lbs. towing capacity changing to ...
If you cannot remember to shift I it out of OD when climbing a long hill then changing gear ratios is for you.:S It's also a good idea to do the same going down if you need to lower your speed. You are right to question how a higher ratio increases it by 2000 lbs. You can make it a 3.73 by never towing in OD but on flat ground you do not need a 3.73.