Just give it a try... There's really almost nothing that pink noise can't tell you about a loudspeaker.
Okay, let us imagine I have to choose new studio monitors for a rather narrow control room used for all sorts of stereo recordings incl. broadcast of acoustic concerts. I have three potential models, all within a range of linearity that they do not exhibit any tonal difference within in the listening window, measurements are flawless and no audible disturbance like distortion. But when listening to concert recordings in a stereo setup, I notice:
A - perfectly accurate localization of phantom sources, proximity thereof exaggerated with direct localizations overly close to the listener, ´dry, holographic picture´ staging, while ambience and reverb detached from the voices/instruments, distant, decorrelated and overly enveloping the listener. When doing mixes, I notice that mixing engineers are putting an overdose of ambience/reverb on the mix in order to balance the flaws of the loudspeakers
B - decent distance of imaging, depth-of-field as intended, wide ambience, good localization of vowels, localization instability problems with sibilance and the typical ´SSSS´ and `T´ of choirs flying around being localized in a different position compared to the voices themselves. Recording engineers are tempted to reduce sibilance bands or increase the relative level of spot mic signals with their fader to compensate for the localization issue.
C - deep, homogeneous ambience with stable localization and fair amount of depth-of-field, voices being enveloped by their resulting reverb and proximity as intended.
Could you draft an experiment please, with which I can reliably determine which of the three speakers is delivering correct imaging in terms of localization and proximity, solely by listening to pink noise in mono?
Change the filters of the crossover circuit, the EQ, walk around the room.
You are talking about discriminance testing, or am I getting it wrong? I am not interested in that. I want to know which of the three studio monitors is most likely to reproduce imaging and ambience as intended by the mixing engineers.