Towing a heavy TT with the Titan, with my experience, yes you will have issues. I had issues with sway that was hard to over come. I was pushed into other lanes once under hard braking do to the very heavy tongue weight. When I got home from that trip I traded off the Titan. It did a good job towing my previous TT weighing 6000 lbs fully loaded. Never an issue with that.
2016 Ford F250 XLT 4X4 6.2L
2015 Rockwood Signature Ultralite 8329SS
Nights camping in 2016: 19 nights
Miles traveled in 2016: 2,575