I don't own a Burley Travoy but I built one just like it using a golf caddy bag I found at a thrift store for less than $5, and I also made a full-sized DIY bike trailer. Between a full-sized trailer and the Travoy-style trailer, the Travoy-style is much easier to tow. Both corner well, but the shorter length of the Travoy-style trailer definitely has a smaller turning radius than a full-sized trailer.
Between the two types, the Travoy-style is definitely a more care-free towing experience. If all you are going to be hauling smaller loads like when commuting or going for a small amount of groceries, the Travoy-style is probably the way to go. If you do a lot of hauling, like to go car free a lot, or have to get groceries for the entire family, a larger trailer would be better.
In terms of width, the Travoy-style trailer is still not as wide as a full set of rear panniers.
Here is my DIY Travoy-style trailer in action. Because it isn't nearly as long as a full-style trailer, its smaller profile takes the corners better.