From a standpoint of engineering, what we don't know, is how high the center of gravity is of our trailer. A guess would be that it's actually fairly low, since much of the really heavy stuff is low to the ground. Steel main frame, water tanks ( if they have water in them ), axles, wheels, etc. For that matter, much of the interior cabinetry is also low ( galley, bathroom, dinette ).
My point is, and this is just a guess since that is about all we can do here in the absence of real data, that lowering the trailer an inch or two is likely going to be such a small change as to be not noticeable.
As for all out cornering force, I have to wonder if the first limiting factor is likely to be traction. Trailer tires are pretty skinny and likely fairly hard compound.
A lower, more aerodynamic trailer like a Casita, Escape or Airstream probably holds some small advantage in cornering.
I have and tow several trailers, and among them is a low to the ground, rounded corner horse trailer, that just coincidentally is about the same weight as my camper. I pull it with the same truck as I do the camper. I really expected, it being lower and more rounded would allow for much better fuel econ, but as it turns out, I only get about one to maybe one and half mpg better.
All of my horse trailers are low to the ground due to the fact the tires "sit outside" the box of the trailer itself, so that vertical clearance for the tires is not a concern. It's typical to build stock and cargo trailers low to make the loading floor lower, and since we don't have low hanging plumbing, etc, those issues are of no concern.