Loudspeaker quality depends on off-axis radiation because rooms reflect it

Evidence

However, the anechoic frequency response measurements of loudspeakers must include those sounds that are radiated off axis, as well as on axis. This is necessary to be able to describe the character of the reflected sound field in small rooms that the binaural hearing system responds to in different ways. β€” Toole, Floyd E, Sound reproduction- the acoustics and…, 118