There is a sense that one is already judged at death and there is a sense that their will be an official jugdement - a set day fo judgement, whether it is the white throne judgement (Rev.20:11) or the judgement Seat of Christ.Rom.14:10; 2Cor.5:10
Let me explain.....
The first judgement is the evidence for the official one as I summarised above. If you like, we can say that the first one is the foretaste of the official judgement.
“He that believeth on him is not condemned: but he that believeth not is condemned already, because he hath not believed in the name of the only begotten Son of God.” (Jhn 3:18, KJV)
“He that believeth on the Son hath everlasting life: and he that believeth not the Son shall not see life; but the wrath of God abideth on him.” (Jhn 3:36, KJV)
In Jn.3:18, we see a sense in which judgement has been set in motion by a current judgemnet. The current judgement are two folds and they are: He that believeth on him... and he that believeth not....
The choice of the individual at death is a judgement set by himself and endorsed by God and sets up the official day of judgements. The first judgement set up by the illumination of the individual cannot be overturned before the official one.
“And he said unto Jesus, Lord, remember me when thou comest into thy kingdom. And Jesus said unto him, Verily I say unto thee, To day shalt thou be with me in paradise.” (Luk 23:42-43, KJV)
The good thief's choice was 'endorsed' by Jesus and the evidence that he will be saved from wrath to come is... to day shalt thou be with me in paradise. In a sense, judgement has been pronounced on him by Jesus and his position after death serves as his evidence that assures him that he will resuurect unto everlasting life.
The good thief in paradise is not his final judgement but he is having a foretaste or evidence of the final judgement. In a sense, it assures him that he is fine and all will be well eventually on the basis of his current state.
“But Abraham said, Son, remember that thou in thy lifetime receivedst thy good things, and likewise Lazarus evil things: but now he is comforted, and thou art tormented.” (Luk 16:25, KJV)
Jesus did not tell us if this is the final judgement (the official judgements as I highlight in my first statement). However, Abraham's comment gives a clue that portends that this scene is a foretaste of the final. Abaraham used the word 'comforted' for lazarus. Comfort is some temprorary respite before total dileverance. This gives me an impression that vs 25 is a foretaste judgement. If scene in vs 25 is temporary for Lazarus, it is equally the same for the rich man.
The final decision of both at death set the motion for the final judgement.
Let me address the catholic quote you gave in the OP.
As far as I know, there is no scripture that teaches that what I call 'foretaste judgement' can be upturned by Mary the Mother of God.
If Mary's prayer or intercession can upturn the future/final judgement of a sinner after death, then vice visa will be possible by someone somewhere in the world of the dead!
The questions to further ask is this:
- What exactly is Mary trying to achieve in her intercession for the sinner who dies without salvation?
- If an individual died in salvation by grace alone, what would be the effect of her prayer for such?
- Will praying for these individuals improve there chances in anticipation of the final judgements?
Let me throw in a spanner here:
“Then Jonah prayed unto the LORD his God out of the fish's belly, And said, I cried by reason of mine affliction unto the LORD, and he heard me; out of the belly of hell cried I, and thou heardest my voice.” (Jon 2:1-2, KJV)
When did Jonah prayed to God? Was it when he was about to die or after he died because we know he was in the belly of the whale for three days and three night? Could he be breathing during these three days?
Whatever the time Jonah prayed to God to be alive, the clear truth about this scene is that Jonah was already saved. His being in the belly of the whale is not predicated on his salvation which he already had but on his act of disobedience to run errand for God. Jonah was already saved for he would not be a prophet of God if he was not saved.
Hence, Jonah's prayer was not predicated on salvation. He was not trying to upturn or improve his own salvation but opportunity to obey God and run His errand.
Conclusion:
There is no evidence in the scriptures that teaches that intercession for oneself or by someone after death can improve or upturn the chances of salvation for the dead. The rich man interceded for himself (Lk.16:24) but all to no avail.
Hence, I doubt if Mary the mother of God's intercession does anything for any one who is dead. Mary would have a great job interceding for so many millions of sinners of all ages. It's hard work that produces no result.