welcome to the forum where you can get free input that you don't need bars to you do need bars.
I tow a heavy bumper pull equipment trailer ....several GN trailers and a 32' 5th wheel RV trailer.
I use a 18' 10k gvwr bumper pull equipment trailer with the wifes 1500 chevy 4wd truck with a 7480 lb blue tractor/FEL on deck 9260 lbs on the trailer axles and 1120 lbs on the trucks rear axle without a WD/sway bars. It had a bit more sway when making a quick steering input than I liked.
I asked the forum about which hitch WD hitch with bars for this truck that would see lots of fields and pasture and off road work sites that doesn't hang down low. Barney (mod) recommend a Husky Center line TS with 1200 lb bars/friction bars.
Now the combo handles the same as my other GN/5th wheel trailers when making sudden steering input changes.
A 30' TT has a lot of sidewall for side winds to push on or bow waves from passing semi's. I would think two sway bars would work better than one.
We have some very experienced members on the TT/WD/sway bar issues like the stickies for the TT forum and others like myself who have a opinion based on little to no experience with heavy bumper pull trailers.