As long as you don't exceed the weight rating of the hitch on the truck. Will the ride in the truck be improved with a WD hitch, yes.
I did the same thing and have a large seasonal and bought a small 17 foot trailer to travel. I tow with a F-350 Diesel. My tongue weight is extremely heavy for a 17 foot trailer at 1250# and requires a WD hitch.
You can try it without (as long as receiver weight is not exceeded) and see if it's satisfactory. I use a WD hitch with sway control and feel it's worth it for the improved ride on a long trip.