If your rolling along in top gear,, and slip it into tow/ haul,, your tach. will raise about 6 to 8 hundred RPM to give you more power when needed.
I think his 2012 coach has a Ford V10 engine and the Ford 5-speed auto tranny (5R110). Tow-haul on that is smart and should not drop you out of the top gear (overdrive) unless the engine load actually demands more power. It's not just an OD on/off switch as was present on the earlier 4-speed (4R100 tranny), so doesn't inhibit OD. Therefore the
rpms won't increase if cruising along on a fairly level stretch, but it should downshift quickly when a grade in encountered and stay in the lower gear(s) longer than with the normal mode shift pattern. That's what eliminates the gear "hunting" that disystox mentioned.
One source of confusion is that Ford's Tow-Haul works differently on high-torque diesel engines than on gas V8 or V10's. The engine performs differently, both up and down hill, so the Tow-Haul management is programmed differently to match the engine performance. It's the same switch, in the same location, but it changes engine/tranny management in different ways.