I am guessing by your reference that you are referring to trying to determine some quality in regards to a live recording room?
Yes, there are limits to trying to simulate an 'instrument' with a speaker. The polar dispersion and Q, etc, will significantly influence a myriad different qualities within the space where the total response is largely conditioned by the interaction of speaker and the bounded room..
But I also get the feeling that you are focusing upon the frequency response, which is perhaps the most limited view that one can have in this respect.
Rather, you should be concerned more with the energy dispersal and how that energy behaves with respect to the boundaries. Therefore you are much better off viewing such energy dispersal in the time domain. From this perspective you can see how the energy disperses and how it interacts with boundaries, is returned to the space (with respect to gain, arrival time, degree or lack of spatial and/or temporal diffusion diffusion).
This view will necessarily be conditioned by the acoustical impedance of the boundaries encountered.
The time domain will provide insight into this behavior and the results. The frequency response will provide no insight into the above mentioned characteristics - and as such provides no basis for actionable causal evaluation or adjustment.
As far as does the polar dispersion and Q of a speaker matter? Absolutely! And this is a variable often simply ignored as we begin to evaluate speakers within a room! And even worse, many begin to design a room simply figuring that any speaker they like can be "inserted here".
The fact is, proper design BEGINS with not only a speaker with a well defined spatial dispersion and Q, but the designer's knowledge of such character! As a speaker's dispersion within a bounded space is critical in determining what early reflections will be generated that contribute directly to potentially anomalous behavior, it is critical that this interaction be anticipated and defined!
In other words, it makes NO sense to design a room and then to simply plop a speaker with an unknown or inappropriate spatial response into the midst and expect the room to perform as expected!
This issue is a critical and FUNDAMENTAL issue in such acoustical response models as the Hidley/Newell Non-Environment rooms and the LEDE concept. But it is also a subject that one seldom ever hears mention in all of the focus upon room design and measurement on forums. And as such, this constitutes a rather major MISTAKE in the design process. The irony is that such room models are built 'around' specific speaker responses, in order to compliment them. They were not designed and built simply so that one could plop whatever speaker they wanted on a bridge and mix - as is SO commonly done!
This supreme irony: Many have some anechoic frequency response that they can pullout with which to impress friends regarding their choice of speakers (which, by the way is very handy the next time you install them mounted in a free field suspended in the center of an anechoic chamber!). But how many have an ACCURATE assessment of the actual polar response/Q of their speakers? And how many of the measured responses actually take into consideration the intended spatial loading and mounting of the speakers in a real defined space?
I'll take such spatially defined energy dispersion data over a frequency response
any day!
And for the speaker room interaction, aside from the fundamental addressing of low frequency modes, give me the Envelope Time Curve (ETC) ANY DAY! But all is not lost, as the printouts of the frequency response are handy as drink coasters. :rofl2:
(That just might make some stop and think about just how they determined the best(sic) speakers to buy the last time out, doesn't it? And PLEASE do not tell me that anyone intended to bridge mount their speakers and to simply go out of their way to introduce critically destructive early reflections!)