It appears you do not understand the rules of basic logic. The video presents a logical proposition: IF P THEN Q. The "P" is the proposition "A sinner can be saved." The "Q" is the proposition "A saved person goes to heaven." The video then shows that this proposition leads to the absurd conclusion that a person who was a sinner goes to heaven while the victim of his crime goes to hell because she was not a believer in Jesus. It has nothing to do with any "subjective conclusion" about the sinner in the video. We begin with the proposition that the sinner got saved and so went to heaven. This is the presupposition used to formulate the logical proposition. It's no different than saying "Suppose X is an odd number. If we divide X by 2 it will leave a remainder of 1." This is how people do logic.
We do not have to "establish" anything because we are not the judges of who is or is not saved. We are merely forming the logical proposition "IF P THEN Q." If the sinner truly believed then he was saved and went to heaven" and "if the Jewish girl did not believe then she was not saved and went to hell." It is simple logic David.
And of course your assertion that God never promised to care for the well-being of believers in this life is false. The Bible is filled with such promises.
I now understand why you have accused me so frequently of being "illogical." You don't understand the first principles of basic logic.
Deuteronomy 7:9 Know therefore that the LORD thy God, he is God, the faithful God, which keepeth covenant and mercy with them that love him and keep his commandments to a thousand generations;
Psalm 89:5 And the heavens shall praise thy wonders, O LORD: thy faithfulness also in the congregation of the saints.
I could go on and on with citations about how God is supposed to be faithful. But you say that God never does anything on behalf of believers, so that is, by definition, faithlessness. It's like a father promises to feed his children but never does. Would you call him a "faithful father"?
Psalm 145:15 The eyes of all wait upon thee; and thou givest them their meat in due season. 16 Thou openest thine hand, and satisfiest the desire of every living thing.
Do you really mean to say that God does nothing for anyone?
But I'm still confused why you called this the "big lie" in the video since it is irrelevant to the main point of the video. The video has nothing to do with "when" a person is judged - the point was the injustice of giving a truly repentant sinner eternal life while his Jewish victim is rejected for not believing in Jesus.