I don't know the intent of the question, but I don't think it is absurd on the face of it. I would assume that over the course of your designing activity, you have made decisions that you thought would more make the sound have this or that characteristic and that those decision also had an impact of how the speaker measured.
I personally think that a combination of a lack of resonances, high enough SPL capability, low distortion, a smooth directivity and a largely flat on axis FR make a speaker sound natural and non fatiguing. But that's a top level view of things, as a designer you must have some idea of the importance of each factor, when they can be compromised and to what extent, and which to prioritize... And maybe you have some hypotheses that extent beyond Floyd Toole's work (and also other than cardioid radiation and coaxiality, because you have already spoken at length about those.