On the other thread about sxs mystique, TW mentioned shallow frames of sxs. I thought I'd take this question to another thread and not derail that one. 
I hear a shallow frame design mentioned in the context of an advantage often, for both sxs designs and o/u designs.
At least one counterpoint is exemplified by the "Un-guns".  They claim not only less heat distortion (not part of my question), but a more direct line of recoil energy into the shoulder and thus less muzzle jump.  
On taller o/u frames than other shallower o/u frames, the top barrel is in the same position on both designs as is the lower barrel, assuming same rib dimensions and barrel spacing.
Purely from a shooting perspective, what's the advantage of a shallow(er) frame?
Is it all just asthetics?