Surpip,
I disagree. If you take a 1000 lb trailer and load it incorrectly, hitch it up unlevel, and have no trailer brakes, and pull it behind a 1 ton truck, it'll be all over the place (pretty scary).
Take that same 1 ton truck and put a 10,000 lb trailer behind it that is loaded correctly, with 10% of the weight or more on the tongue, use a weight distributing hitch, sway control, and the trailer is rated for the load it is carrying and has brakes that work correctly, and I'd be more than happy to pull it anywhere....even in an underpowered truck.
I'd take a big, properly set up trailer over a small, but poorly loaded and equipped trailer any day.