Inoperative types of mind (kiriya-cittani) that are dissociated from wisdom (paññā)

According to Abhidhamma exegetical texts, meditation of the 4 types of sense-sphere functionally inoperative-indeterminate cittas associated with wisdom (paññā) leads to knowledge of purity (vodāna), issuing in the supramundane Path-cittas of Once-returner (Sakadāgāmi) and Non-returner (Anāgāmi). What about the other 4 types of sense-sphere functional-indeterminate cittas that are dissociated from wisdom (paññā)? Since these four types of cittas are not conjoined with wisdom (paññā), do they still lead to the concentrative stage of purification (vodāna)? And to Nibbana? If those four types of citta do not lead to purification (vodāna) and subsequent Nibbana, and neither do they also generate rebirth kamma-deposits, then when the living Arahatta person dies, where will be the destiny? Will that person be born again as a living Arahat? or does he become an achiever of only Arahatta’s Path but not of fruition? Any help to shed light on this is very much appreciated.