Probably not.
Turning the overdrive off is designed to prevent the transmission from hunting for a gear.
When you carry a heavy load or are trailering, and the transmission shifts into overdirve (5th gear) the engine may not be able to pull that load at highway speeds so it will downshift into 4th gear. When the vehicle gets up to speed it will shift into 5th gear again, and will start to slow down again, and the downshifting/upshifting will continue to repeat.
If you are carrying a load or towing and the transmission is not constantly hunting for 4th and 5th gear, there is no need to turn off the overdrive. Obvioulsy if you are starting up a long slight uphill, that may cause the transmission to start to hunt for the proper gear. you can turn the OD off until you get over the crest of the hill...That assumes that there are few hilss or uphill inclines.
Anytime you are heavly loaded and your transmission is constantly hunting for 4th and 5th gear, you should turn the OD off. If it's not hunting for 4th or 5th gear, then leave the OD off for slightly better gas mileage.
...Rich