Irenaeus is best known for the "recapitulation theory," which does merit the term "theory" and may be his own innovation. Irenaeus still refers to the "redemption" of souls, by the giving of Jesus himself to redeem those in captivity. On this, Origen and Irenaeus both attest.
https://earlychristianwritings.com/text ... book5.html
We — who were but lately created by the only best and good Being, by Him also who has the gift of immortality, having been formed after His likeness (predestinated, according to the prescience of the Father, that we, who had as yet no existence, might come into being), and made the first-fruits of creation — have received, in the times known beforehand, [the blessings of salvation] according to the ministration of the Word, who is perfect in all things, as the mighty Word, and very man, who, redeeming us by His own blood in a manner consonant to reason, gave Himself as a redemption for those who had been led into captivity. And since the apostasy tyrannized over us unjustly, and, though we were by nature the property of the omnipotent God, alienated us contrary to nature, rendering us its own disciples, the Word of God, powerful in all things, and not defective with regard to His own justice, did righteously turn against that apostasy, and redeem from it His own property, not by violent means, as the [apostasy] had obtained dominion over us at the beginning, when it insatiably snatched away what was not its own, but by means of persuasion, as became a God of counsel, who does not use violent means to obtain what He desires; so that neither should justice be infringed upon, nor the ancient handiwork of God go to destruction. Since the Lord thus has redeemed us through His own blood, giving His soul for our souls, and His flesh for our flesh, and has also poured out the Spirit of the Father for the union and communion of God and man, imparting indeed God to men by means of the Spirit, and, on the other hand, attaching man to God by His own incarnation, and bestowing upon us at His coming immortality durably and truly, by means of communion with God — all the doctrines of the heretics fall to ruin.
Like Origen, Irenaeus both refers to Jesus "giving himself" or "his soul" and also to "redeeming us by his own blood." Since, in the story, Jesus died after he was handed over, it would seem natural to go on to speak of the price paid by Jesus in terms of his death (as could also be done in cases of prisoner substitution where the substitute dies while in captivity). The reference to "blood" may evoke 1 Peter.
Origen speaks of ‘the ruler of this world’ and the devil, as well as "evil powers under him." Irenaeus speaks abstractly in terms of "apostasy." He would seem to be uncomfortable with a more specific story of redemption, i.e., the identification of us being redeemed from the devil or (as some may have claimed) the creator god of the Old Testament.