Believe it or not, someone did their Ph.D. dissertation on the differences between these: "An Acoustical Comparison of Flatback and Roundback Double Basses" It is a very interesting read. If you go to this website,
http://www.awbmusic.com/acoustics/index.htm
look at Link 2 towards the bottom of the page.
My recollection is that the vibrational modes in the top plates of the instruments is different between the two. I think this is caused by the bracing in the flatback that is required for structural support. The flatback is more like a viola and the roundback is more like a violin, in this regard . The acoustic radiation pattern of the roundback is uniform whereas the flatback is not, (I think it has a dip somewhere in the 360 degree pattern - he plots 2D pattern).
I was told by a prominent luthier that the flatback has slightly nicer tone but it may require more repair work in the long term, since the bracing and back can shift relative to each other. (The grain of the bracing runs side-side and the grain of the back is up-down.) But he also said that the use of stable, aged wood can reduce this. There are plenty of old flatback basses around after hundreds of years.
As to your question of superiority: I believe that the builder and wood selection (and condition, in the case of an older instrument) are more significant attributes than the flatback/roundback aspect.
Jim