Ok, so I know this is one of those deals where it's mechanics vs lore, but hear me out because I think it's interesting.
So each week we're going in and using our soul catchers to pull souls out of the Maw and bring them back to our covenants where I'd presume the covenant then does their normal stuff and leach anima from the souls as they purify their sins, move on from their pasts, embrace nature or become weapons of the Shadowlands. (It never quite gets into exactly how the Necrolords remove anima from the souls given.)
The placement of each of these souls was determined by the Arbiter, the Arbiter would then send each soul to the realm most fitting for it and I'd presume pull away some anima as well for the empowerment of Oribos.
Well the Arbiter is still down for the count after getting an anima enema from Denathrius. So we're all just gathering up souls and bringing them back.
So we might be gathering up brave hunters and trackers and then shipping them off to Revendreath to be cleansed of sins that they don't really have. We could be sending prideful demagogues to Bastion where they'll just be ripe for falling since they'll never learn humility through gentle atonement and meditation. We might have put the guy that flipped the first catapult lever to burn down the world tree and pulled out a bag of marshmallows right into the middle of Ardenweald. And who knows how many just frightened and weak children or civilians we've now shipped off to Maldraxus?