I agree with this work of the Holy Spirit for all "Convicting the WORLD of sin and righteousness and judgment" but when it comes to the New Covenant work of writing the Law on the heart - that seems to be the work done for the saved.
Heb 8
10 "" FOR THIS IS THE COVENANT THAT I WILL MAKE WITH THE HOUSE OF ISRAEL AFTER THOSE DAYS, SAYS THE LORD: I WILL PUT MY LAWS INTO THEIR MINDS, AND I WILL WRITE THEM ON THEIR HEARTS. AND I WILL BE THEIR GOD, AND THEY SHALL BE MY PEOPLE.
11 "" AND THEY SHALL NOT TEACH EVERYONE HIS FELLOW CITIZEN, AND EVERYONE HIS BROTHER, SAYING, "KNOW THE LORD,' FOR ALL WILL KNOW ME, FROM THE LEAST TO THE GREATEST OF THEM.
12 "" FOR I WILL BE MERCIFUL TO THEIR INIQUITIES, AND I WILL REMEMBER THEIR SINS NO MORE.''
Here we have the New Covenant of the NT - comprised of OT promises.
Jer 31:
33 ""But this is the covenant which I will make with the house of Israel after those days,'' declares the LORD, "" I will put My law within them and on their heart I will write it; and I will be their God, and they shall be My people.
34 ""They will not teach again, each man his neighbor and each man his brother, saying, "Know the LORD,' for they will all know Me, from the least of them to the greatest of them,'' declares the LORD, ""for I will forgive their iniquity, and their sin I will remember no more.''
And the OT promise - New Covenant Promise - to write God's Law on the heart and cause them to walk in His ways - meant a NEW HEART - as God's Word clearly shows.
Ezekiel
26 ""Moreover, I will give you a new heart and put a new spirit within you; and I will remove the heart of stone from your flesh and give you a heart of flesh.
27 ""I will put My Spirit within you and cause you to walk in My statutes, and you will be careful to observe My ordinances.
28 ""You will live in the land that I gave to your forefathers; so you will be My people, and I will be your God.
The NT authors call this a "NEW CREATION". To turn away from rebellion and toware conformity with God's Law - having God's law written on the heart
is nothing short of "a new creation" with OLD THINGS passed away.
2Cor 5:17 Therefore if anyone is in Christ, he is a new creation; the old things passed away; behold, new things have come.
Rom 2:
28 nor is circumcision that which is outward in the flesh.
29 but he is a Jew who is one inwardly; and circumcision is that which is of the heart, by the spirit, not by the letter; and his praise is not from men, but from God.