Well just because you can measure it doesn't mean you can hear it. Remember what Dr. Toole said, we don't hear the same as microphones, and it's not just the HRTF. Microphones hear SPL measured in dB, we hear loudness measured in Phons and Sones. Microphones hear frequency, we hear pitch. Microphones can plot the frequency response in exquisite and minute detail, but we hear in chunky blocks called ERB's. There is of course a relationship between the two in each case, but the relationship is a nonlinear one and our hearing can be fooled with all sorts of illusions.
And of course, we are much better than microphones at directional hearing. For example, if you hear a sound coming from your left, you can also tell how far away it is. This ability is a combination of several mechanisms, and it's much more than the HRTF, ILD, and ITD. It also involves loss of phase coherence (nearer sounds = more phase coherence) and for us to know the difference between a twig snapping 2m away vs. 30m away, we need to have heard it before and remember what that sounds like. Then there's body positioning, which is tied in with the change in HRTF when the ears change position relative to the sound source.
Unfortunately, our ability to measure with a microphone stops at the eardrum. Further processing in the brain still happens, and that affects our perception, but it can not be measured. We get a whole heap of data in our measurements which somewhat correlate with what we hear. A whole chunk of what we measure can be safely ignored because we won't hear it. But what is relevant, and what is not? The only way to tell is by experimenting on human subjects.