Romans 5:12 does not say death passed upon all men "through" Adam. You are adding to the word of God. Scripture says no such thing.
Rom 5:12 Wherefore, as by one man sin entered into the world, and death by sin; and so death passed upon all men, for that all have sinned:
This verse does not even contain the word "through" that is your invention. It says that by one man sin entered the world, and death by sin. It then says death passed upon all men FOR THAT(because) all have sinned.
Augustine had a flawed Latin text that said "in whom" which he interpreted to mean in Adam. The Eastern church which used only Greek texts absolutely disagreed with Augustine's interpretation and said the verse should rightly say "because of" or "for that" all have sinned, showing death passed on all men because all men have personally sinned. This is an historical fact you can easily look up if you sincerely want to know the truth.
Once you get off track with verse 12, you will necessarily misinterpret all the following verses.
Rom 5:19 For as by one man's disobedience many were made sinners, so by the obedience of one shall many be made righteous.
Romans 5:19 is not saying that all men were unconditionally made sinners by Adam's sin. In fact, it is not saying all men, but many.
But if you believe all men were unconditionally made sinners by Adam's disobedience, then you have to interpret the second half of the verse EXACTLY the same (because that is the technique Paul is using) and you would have to believe all men are unconditionally made righteous by Christ's obedience.
This is why your interpretation cannot be correct.
The correct way to interpret this verse is to realize that Paul is saying men who conditionally sin as Adam did are made sinners, and those who conditionally believe as Jesus did are made righteous.
Men are made sinners by following in Adam's ways, just as many men were made communists by following in Karl Marx's ways, or many men were made evolutionists by following Charles Darwin's beliefs and ways.
And men are made righteous by following in Jesus's way and trusting God, as Jesus trusted God when he willingly allowed himself to die on the cross, commending his spirit into his Father's hands.
Luk 23:46 And when Jesus had cried with a loud voice, he said, Father, into thy hands I commend my spirit: and having said thus, he gave up the ghost.
To "commend" means to entrust. And we are imputed righteous conditionally when we entrust our soul to Jesus as Jesus entrusted himself to his Father.
You cannot apply sin unconditionally to all men and then apply righteousness conditionally in this passage.That would completely violate the technique Paul is using. Paul is treating each half of each verse EQUALLY in these verses.