Jesus died because he loved us .
Jesus died for His Church who is also His Bride who is also Israel.
Eph. 5:25.
So, then the doctrine of imputation should read:
21 For he hath made him [to be]
the choices of sin for us, who knew no
choices of sin; that we might be made the righteous
choices of God in him. 2 Cor. 5:21.
Your holding of what sin is destroys the doctrine of imputation for the doctrine describes a nature-swap. Christ took our sin nature because we take His righteous nature. The completion of our sanctification in which we are made and conformed into the image of Christ who is the image of the invisible God.
The definition of "harmatia" which is translated as "sin" in the KJV means "missing the mark." It doesn't mean "choices." As saith the ancients, wickedness comes from the wicked (personal pronoun)" 1 Sam. 24:13.
This is the same as saying "sin comes from sinner."
Paul says in Romans 7 that the Law/Command of God shows us we are sinners. If there's no Law against something and you that thing for which there is no Law prohibiting it then there is no transgression. Simple.
Now, let's go to the Garden.
17 But of the tree of the knowledge of good and evil,
thou shalt not eat of it: for in the day that thou eatest thereof thou shalt surely die. Gen. 2:17.
Here is God's command and restriction prohibiting Adam from performing. It wasn't the choice to eat of it but was the actual eating of it that Adam was prohibited from doing. I can choose millions of things to do but until I do the thing I haven't done it.
Paul explains:
7 What shall we say then?
Is the law sin? God forbid. Nay, I had not known sin, but by the law: for I had not known lust, except the law had said, Thou shalt not covet.
Rom. 7:7.
Nothing's changed. What applies to us post-sin of Adam occurs the same pre-sin, and that is the same reasoning Paul explained above about the Law showing we are Lawbreakers. Let's apply it to Adam but use Paul's words:
What shall we say then?
Is the command sin? God forbid. Nay, I had not known sin, but by the command: for I had not known disobedience, except the command had said, thou shalt not [eat of it].
Before Adam made the
choice to sin as you say
is the sin, he was already a sinner. And since there is no record of any sin he committed before eating the fruit of the Tree of the Knowledge of Good and Evil I can only conclude that God created Adam fallen short of the glory of God and "missing the mark" of the glory of God and the word for that is "sin" not the
choice to sin.
There is only ONE God, there is NONE like Him, and He gives His glory to NO ONE.
If this is all true, then what was Adam at his creation except being created fallen short of the glory of God and "missing the mark" of the glory of God?
Even for those that believe Adam was holy or righteous the fact remains He committed sin. Sin does not come from holy, and sin does not come from righteous. The last Adam [Christ] proved this. He was Holy, He was righteous, and He did no sin even when tempted.
There's a Latin term for this with regard to Christ:
able not to sin (posse non peccare);
unable to sin (non posse peccare).
But the fact of the Law/Command of God in the Garden of Eden restricting him from some deed or action shows Adam was a sinner before he sinned for sin comes from sinner.
Christ did not die for the
choice of/to sin. Christ took our sin nature which killed Him and we take His righteous nature which gives us life.