Hi,
This refers to the nirodha, extinguishment, of the defilements while consciousness remains, not to saññāvedayitanirodha or the final nirodha of the khandhas after the death of an arahant.
Regarding saññāvedayitanirodha, it’s a term used in the suttas to refer to a temporary ceasing of all perception, feeling, and consciousness. In MN 43:
“What’s the difference between someone who has passed away and a mendicant who has attained the cessation of perception and feeling?” “Yvāyaṁ, āvuso, mato kālaṅkato, yo cāyaṁ bhikkhu saññāvedayitanirodhaṁ samāpanno—imesaṁ kiṁ nānākaraṇan”ti?
“When someone dies, their physical, verbal, and mental processes have ceased and stilled; their vitality is spent; their warmth is dissipated; and their faculties have disintegrated.
When a mendicant has attained the cessation of perception and feeling, their physical, verbal, and mental processes have ceased and stilled. But their vitality is not spent; their warmth is not dissipated; and their faculties are very clear. That’s the difference between someone who has passed away and a mendicant who has attained the cessation of perception and feeling.”
So if by “cognitive state” in the OP you meant a state that involves any sort of consciousness, MN43 and several other suttas point to this not being the case for saññāvedayitanirodha.
Hope this is helpful. 