Tow/Haul or Sport mode on F-150

I have read the manual. I see more similarities than differences. Higher shift points, more engine braking, for instance. Basically the same thing with different names. Looks like they could have combined the two into one "feature".

Page 177 of your manual:

Tow/Haul Mode

To activate tow/haul, press the button on the gearshift lever once. The TOW HAUL indicator light will illuminate in the instrument
cluster.
The tow/haul feature:
* Delays upshifts to reduce the frequency of transmission shifting.
* Provides engine braking in all forward gears, which will slow your vehicle and
assist you in controlling your vehicle when descending a grade.
* Depending on driving conditions and load conditions, may downshift the
transmission, slow your vehicle and control your vehicle speed when descending a hill, without pressing the accelerator pedal. The amount of downshift braking provided will vary based upon the amount the brake pedal is pressed.
The tow/haul feature improves transmission operation when towing a trailer or a heavy load. All transmission gear ranges are available when using
tow/haul.
To deactivate the tow/haul feature and return to normal driving mode, press the
button on the gearshift lever twice. The TOW HAUL light will deactivate. Tow/haul will also deactivate when you power down
your vehicle.


S setting is on page 177 also:
Sport Mode

To activate Sport Mode, press the button on the gearshift lever
twice. The SPORT or S indicator light will illuminate in the instrument
display

The sport mode feature:
* Provides additional grade (engine) braking and extends lower gear
operation to enhance performance for uphill climbs, hilly terrain or mountainous areas. This will increase engine RPM during engine braking.
* Provides additional lower gear operation through the automatic
transmission shift strategy.
* Selects gears more quickly and at higher engine speeds.
To deactivate the sport mode feature and return to normal driving mode, press the button on the gearshift lever once. The SPORT or S indicator light will deactivate.
The sport mode feature will also deactivate when your vehicle is powered
down.