I'd like to nudge the discussion back to the original subject: accurate mics are a myth. To start with, virtually all microphone products which emphasize claims of accuracy are not selling well, compared to other mics in the premium price class.So what's the problem here? It's either that the product does not achieve the manufacturer's claim, and potential customers notice its shortcomings, or the claim itself is pointing in the wrong direction by appealing to a goal not perceived by a critical mass of engineers as either attainable or worthy.
Microphones are meant to transport sound waves that are ultimately meant for, and can only be interpreted by, human hearing.
Again, a mic's "accuracy" or "fidelity" relates to how well its electrical output conforms to the sound pressure waves presented to it.
An omni pattern will pick up air motion from all angles but does not provide any directional cues. The human ear can do that with only one working ear. That is why when you bury one ear in a pillow you can still determine the sound's directional source.
(...) but the directional sensing enabled by the pinna (outer ear) seems to be limited mostly to the vertical plane (above, level, below the head).
Have you tested and confirmed the claim that directional sensing of an individual ear is mostly limited to the vertical plain?
How about trying this: Rub your thumb against your index or middle finger, move it in the horizontal plane from front to rear, back to front: can you follow the rustling sound? Do you get any less directional sense from rustling horizontally than making the same move in the vertical plane? I certainly don't. I hear them both equally distinct.
(Not that any of this has much to do with the thread's subject).
But how would one measure "the sound pressure waves" for comparison except with a microphone?
As mentioned, here is the paper on measurement microphone calibration standards I referred to but temporarily mislaid.Calibration of Pressure and Gradient Microphones by Victor Nedzelnitsky.https://www.nist.gov/sites/default/files/documents/calibrations/eacous.pdf