Neither is needed. Spend a few nights in your trailer first. See whether others moving around inside bothers you or not. (Usually it will be the one asleep in the bedroom that feels others moving in the rear).
Generally, the Strongarm style stabilizers take more of the wiggle out than do the pin box types. You'll never get all of it, as the tires and trailer suspension still allow some motion, but it will improve things a lot. But see if it bothers you first, many never need anything.
2012 F150 Eco, 4x4, SCrew, Max Tow, HD Payload
2017 Grand Design Imagine 2670MK