I think we are discussing different things. I kow it is proper to pray for the dead. The question is whehter praying for the dead can get them out of hell. I dont think that is the teachigs of our Church. The links you provided , I believe, refer to souls in Purgatory.
“Hell” is the key word here.
Eastern Catholics don’t speak of people being sent to “hell” right after they die – “hell” doesn’t occur until the Last Judgement. Until then, one is in the spiritual world, and the prayers of those on earth can help you.
In the Latin Church, there are two options after you die: (1) hell and (2) purgatory/heaven. But since you don’t know where the person is, you might as well pray for them, even if they are actually in hell and have no hope of getting out.
Eastern Catholics (who are in communion with the Pope) don’t outright reject the Latin Church’s position, but they seem to see it as an alternative position, equally viable.
In both cases (the Eastern Catholic and the Latin Catholic cases), there is: (1) a place where people go after death, before they reach heaven; and (2) prayers being made for those people.
The difference is that the Eastern Catholics believe that
everyone after death can be helped by their prayers; whereas the Latin Catholics believe that only those in purgatory can be helped by their prayers.
In a sense, you could say that for Eastern Catholics, everyone goes to purgatory after death, no one is totally lost, until the Last Judgement. (But, then, that view of purgatory is very different from the Latin view.)