The answer is found in MN 106:
(THE BASE OF NOTHINGNESS)
6. "Again, bhikkhus, a noble disciple considers thus:1014 'Sensual pleasures here and now and sensual pleasures in lives to come, sensual
perceptions here and now and sensual perceptions in lives to come,
material forms here and now and material forms in lives to come,
perceptions of forms here ...
I wouldn't dismiss the dimension of neither perception nor non-perception too casually.
The dimension of neither perception nor non-perception separates the dimension of nothingness from the cessation of perception of feeling. Perception originates from contact, so the dimension of neither perception nor non-perception is the subtlest dimension for ...
I would also say that it is largely irrelevant, given the keywords you’ve listed as constraints for your requested answer. However, I would like to make a correction to the phrasing of your question in that it is not “the ability to discern and cognize... that are absent” but discernment and cognition that are absent, i.e., the faculty is there, but ...
I'd argue that its largely irrelevant. The content of meditative experience really has no bearing on ones practice. The insight that is attained when one emerges from those states is what matters. The only value of truly deep meditative absorption is that it allows for equally deep vipassana.