Going higher numeric diff and everything else equal...'can' provide more HP
Here is why or how...
Most diff ratios are about 10% apart going up or down in ratio from
whatever starting ratio you have
Take a 3.73 diff ratio and go to a 4.1 diff ratio...is about 10% more rev's
per axle rotation
That then means the ICE will spin about 10% more rev's per axle rev...again
all other things being equal (meaning the same tranny gear, TC locked, etc, etc)
Since the ICE is spinning about 10% more rev's...it moves up the HP curve
and take a look at the one provided on this thread (don't know if correct
for the OP's ICE, but for discussion...assume it is correct for the OP's
ICE)...for the same axle speed (AKA rev's...which translates
to tire rev's...which translates to MPH)
That is how gearing multiplies torque and therefore HP via the lower/higher
rev's from the gear box input to output shafts
What meant by it depends on the ICE...as if the cam/etc does NOT support
higher rev's (limited...AKA red line), then mut point...but...it still has more
rev's allowed by the computer...more torque multiplication up or down depending
on the ratio moved from
Getting it moving and/or changing speed is about HP doing work to move it
from a stand still to some speed...or from some cruising speed to a higher
speed...why I say for speed performance...I drive to HP
And when towing I drive to torque...but that is just me...everyone decide
for themselves either just because or after they learn the true difference
between the interrelated torque/HP curve of 'their' ICE...