I have a 3rd Gen Dodge (just as the OP), I use T/H all the time, not just during towing. This is because the TC in our model trucks are so stinking loose. If I had a tighter aftermarket TC, l might not worry about it.
By doing so, I get lockup in 3rd (as low as 35mph). If not, there is no lockup in 3rd. Also, I get lockup in 4th sooner (as low as 43mph) vs 50mph when not engaged. this makes for a much more responsive truck during slower in town driving, and will help with transmission temperatures on a hot day because of the reduced time the trans spends in fluid coupling.
Each vehicle/manufacturer has different ways their T/H operates. My work truck (05 V10 Ford) rarely gets placed in T/H (loaded with ~2k worth of equipment) because of the delayed shifts that are not necessary during normal driving. I do engage when in very hilly areas (regardless of travel speed) to reduce shifting.