The rear end drop is relative to the tongue weight. Too much tongue weight and yes the rear end will drop, too little tongue weight and you will feel like you are on a salmon swimming upstream. Check the manual for towing weight specs, happy trails. Tongue weight is controlled by the balance of weight over the axle of the trailer.
Had a boat doing the wiggly waggy at 65mph, just moved the 2 6 gal full gas tanks to the bow of the boat an all was fine.