Yes, this is one distinction between Protestant theology, speaking generally, and Catholic theology on justification. In Catholicism God intends to make us truly new creations. The “righteousness of God” that Jesus possessed is also the righteousness that man is intended to have, and would have naturally as a result of the
union with God that Jesus possessed and that constitutes the right or just order of things for man as well. Faith is the doorway to this righteousness because faith is the doorway to intimate relationship with God. At its core Adam’s disobedience was essentially an act of unbelief:
"…not having a righteousness of my own that comes from the law, but that which is through faith in Christ—the righteousness that comes from God on the basis of faith." Phil 3
From the New Covenant prophecy of Jer 31:
"I will put my law in their minds and write it on their hearts. I will be their God, and they will be my people."
Man was not intended to be a sinner or remain one with the new birth (and this makes sense out of a
lot of biblical passages). So while forgiveness of unrighteousness is accomplished by Jesus, true righteousness is then also imparted or
infused, not merely imputed. In Protestantism we become sort of “snow-covered dung-heaps”, but this then causes some confusion among Protestant theologians as to what happens from there, whether we can remain sinners and still be saved, or to what degree we can sin, whether or not one can forfeit and lose their justified state and therefore their salvation IOW. (And how is this concept different, really, from the state of the Pharisees who Jesus condemned for being “white-washed tombs”, clean on the outside while filthy on the inside?) Christianity is
not an excuse to remain as we already are.

God doesn’t condone human sin.
So God didn’t create us to be unrighteous, and to then continuously congratulate ourselves for admitting to staying that way. He wants more from-and
for-us than that. Man was and will always be
obligated to righteousness and obedience. The New Covenant, when the time was ripe for it, finally provides the authentic means. The righteousness that only God can work in us is called
love, epitomized by the Greatest Commandments and this is why the Church can teach, regarding our “particular judgement”,
"At the evening of life we shall be judged on our love."
Faith is intended to lead to that-but faith is not the
equivalent of that righteousness or the full description or definition of it-and faith can be rejected at any point along the way. We must remain in Him and He in us (John 15).
Anyway this distinction is very important-and highlights an error in Protestant theology that has spread much confusion as I’ve experienced it.