I have an Empress Tree of China, as it was labeled when I purchased it about 20 years ago. For many years the tree seemed to die back to the ground leaving last year's stem (trunk?) hollow and dry. After many years like this, the tree seemed to acclimatize and is currently growing well. Right now, the tree is bare - it lost all its leaves at the same time after our first frost - except for what I suppose are seed pods. Remember, it's been growing in the same spot for a good 20 years or so and I do have one root that is high enough for the mower blade to hit it. I usually raise the mower and glide right over it. Since I mow regularly around it, there has been no invasion of seedlings at all.
There is a row of these trees in a nearby city. There, the trees are purposefully cut to the ground every fall. Those trees with their large leaves give a bushy, tropical look to the yard that is pleasing. I let mine grow, although I do cut out suckers. It is finally about 20+ feet tall and doing well. I suspect a really cold winter may cause die back, but it hasn't happened in the last 5-6 years here. I have it planted in a row along with several other trees I purchased at the same time -- a sycamore, a tulip tree, and a fringe tree. the golden chain tree didn't survive in my yard. All of these trees are supposed to be hardy to zone 5 and I usually consider myself zone 4-5. If I were to get just one of these trees it would probably be the tulip tree. It has a trim, beautiful vase shape and lovely tulip-like flowers of green/yellow/orange in the spring.