The other thing to consider is your effectively increasing your torque to the ground in any given gear and at any given RPM at the cost of speed. By going from 3.73s to 4.56s you effectively increase your gearing advantage by 22%. That means 22% more torque to the ground, all else being equal.
Think of gears as a lever or cheater bar. The longer the lever (deeper gears) the more torque you can put on a given bolt or object. If the object turns freely however, you will not be able to spin the large lever as fast as a small lever.
Remember torque is an actually measurement of force, hp adds the factor of time and the constant of 5252 into the equation. If you compare results on a rear wheel dyno, you won't make any more HP on the Dyno but you'll make a whole lot more torque. In all reality, even though you won't make any more peak HP, you'll build hp more quickly. This makes a difference in every gear. the downside is, with deeper gears, you'll decrease the top speed of each gear.
For those of us with V10/4R100 combos, think of it like this. if we tow at 65mph, we effectively increase our torque to the ground by 22% in both 3rd and 4th gear by changing from 3.73s to 4.56s. On top of this, we raise our rpms closer to the torque and hp peak of the engine. With 3.73s I turned 1800rpm in
4th and if I remember correctly around 2600 in 3rd. This engine makes peak torque at around 3,200 rpm and peak HP at around 4,700 rpm. So moving the rpm band closer to those peaks at the same speed ultimately also adds to the overall equation of increasing HP and TQ at a usable RPM. If I remember correctly the net overall effect was around 30% torque advantage at the same speed. As is expected, it's a noticeable difference!