If an electronic piece of equipment can generate a sound, then that sound can certainly be measured electronically.

I know that the human brain is exceptionally good at processing sound information. It was evolutionarily advantageous for our antecedents to be able to pinpoint locations of sound sources in all three directional axes.

But the measurements you speak of have to do with sound. It's more efficient to measure a receiver by cutting the speaker out of the picture altogether and simply measuring the electrical signal that's coming from the terminals. It is my belief that equipment currently available to us can more accurately measure the intricacies of that electrical signal than our ears can measure pressure waves.