I'm not sure I understand what you are asking but can take a stab at a response. If the connection at the sway bar itself was fixed, with bushings only at the body mounts, the sway bar would mostly eliminate the axles ability to flex diagonally over varied terrain. Not ideal for trail use but it would certainly corner like it was on rails.
I can report that there is quite a significant difference between no rear sway bar and the design above, however I'm quite certain that the design above does allow for more flex off-road than stock due to the aforementioned poly bushing modification.