The dispersion pattern of most conventional speaker designs is nothing like that of live acoustic instruments. This is perhaps the biggest reason why even many of the best stereo systems sound like stereo systems and not live performances
Agreed, even and wide dispersion is indeed a major factor in producing a natural & convincing sound. Our ears/brain seem to sense when reflected or reverberant energy is inconsistent with the primary/direct signal. Narrow dispersion speakers rarely sound convincing unless you sit so close at to almost completely drown out the reverberant sound field. This has been known for a long time and Dr Floyd Toole performed rigorous listening tests in the 70's that confirmed this. Mirage is one of the offshoots from Dr Toole's work in NRC labs (Energy and PSB are too).
The only issue with Omni's, dipoles or panels are the rear reflections which need to be sufficiently delayed in order not to be in danger of collapsing the soundstage/precise imaging. 10 Msec is a good rule of thumb, which translates to around five feet (or more) from the back of the speaker to the wall for optimum sound.