Until actual trailer gross weights and pin/tongue weights can be cited, this is mostly conjecture. A modern half ton truck typically has a payload of 1400-1700 lbs, which means it could handle maybe a 7000 lb 5W or a 9000 lb TT. A 30 foot TT could easily fit in that range but the 5W would probably be shorter.
That said, there are more than a few overloaded half tons out there. They tow OK as long as things go well on the road but are likely to come up short if an emergency turn or stop is required. And the truck's own lifetime & reliability is reduced to some degree as well. Personally, I'd rather have too much truck than too little.
2004 American Tradition; 2014 Buick LaCRosse
Homebase in the Ocala Nat'l Forest near Ocala, FL