Obviously N. T. Wright is wrong.
Justification refers to God making a sinner righteous. God does not declare the person righteous but makes the person righteous by the "washing of regeneration." Romans 5:19, Titus 3:5.
The mistaken view comes from sinners self declaring themselves righteous, or with God examining someone and finding them righreous or unrighteous. However, for a sinner to become righteous requires the washing of regeneration. Otherwise Christ death did not provide the sacrifice required for justification.
Note the OT Saints gained approval by faith, but that did not allow them to enter heaven. They had to wait to be made perfect by the washing of regeneration.
Both views presented by the OP are unstudied and unbiblical.
How do unholy sinners, from conception undergo the washing of regeneration? God credits their faith as righteousness and transfers them into the kingdom of His beloved Son
Consider these analysis question:
1) Why did Christ die if God had chosen to declare rather than make sinners righteous?
2) What does the washing of regeneration accomplish if God simply declares people righteous?
3) What is the circumcision of Christ?
I believe individuals receive justification (reconciled to God) when God transfers their human spirit into the Body of Christ and they undergo the washing of regeneration.
Romans 4 does not say Abraham was made righteous, it says his faith was credited as righteousness.