We replaced our booth in our slide with two Laz-Y-Boy rocker recliners and did not fasten them down. The do not move.
I think a lot depends on where the loveseat/chairs are located. If they are in a slide which is usually located toward the middle of the TT from front to back, they get a much smoother ride. If they were located in the very back, like in a rear living situation, many owners say they need to fasten them in some way or they will move or flip.
I have a small table lamp just sitting on the table next to my bed in the very front. The lamp is not fastened down and it does not more or tip over. If I were to put that same lamp on a table in the back of my trailer, it would not survive a 10 mile trip.
2017 Salem Hemisphere
2009 Chevrolet 2500 HD 6.0 L