What tests would you like all speaker reviewers to do for their reviews?

@bdp24, I get your point. Sound is sound - pressure variations with respect to time. How it's processed by the ear, nerves, brain system is what we hear. Correcting a speaker for the hearing mechanism processing does not make sense to me, because any heard sound already has been processed by the same mechanism within each person's ear-brain system.

This is all wishful thinking.

As for the original question by the OP, I think we all need to agree on the objective of what a speaker should do.

From what I read in textbooks before, the objective may be stated as, 'A speaker should reproduce the electrical signal received at it's inputs exactly, as a pressure variation output.' Obviously, we all know from experience that this does not happen exactly, with less accuracy as it does with respect to electronics (pre-amps, amps). So we need a test to show that the speaker output waveform is the same as the electrical waveform input to the speaker. 

Problem: what about the microphone used to test the speaker?... What is it's transfer function? What room do we test the speaker in? Etc.

We all know that measurement of a speaker is not so easy. I suggest we look at the work of Floyd Toole, et al., as guidance for further discussion and work.

I would like to see them play different varieties of music for a change.

Spinorama 2034, near field driver, early reflections, in room response,  beamwidth,  horizontal and vertical directivity, waterfall , distortion @96dbspl, fundamental and harmonic distortion, maybe some 360° vertical and horizontal polars.