Where are they in the Ten Commandments? Only the Sabbath commandment is written by the hand of God with the other 9 commandments, so yes, there is a difference. The Ten Commandments are in Exodus 20, I hope you’re not trying to rewrite these now!
You are fixating about the 10 commandments being written by the hand of God, as though a commandment from his mouth carries less weight? Deu 6:4&5 is quoted by Jesus as the most important commandment, and it isn’t written on the stone tables.
Also, the 10 commandments written on the stone tables are literally the “tables of the covenant”, meaning the tables of the Old Covenant. There isn’t any ambiguity there. Nobody is denying that God wrote on them, but it was literally pre-incarnate Jesus, the creator, who wrote on them. The pre-incarnate Jesus is the God of the Old Covenant. When he died on the cross, keeping the covenant of the tables of stone was no longer the path to salvation, because the giver of the tables of stone, Jesus, died, and that Old Covenant died with him, so Israel and everyone else is free from the Old Covenant tables, written on stone, so that they can now serve the risen Jesus under the New Covenant, where God writes his commandments on the tables of our hearts. Just as when a husband dies, the wife is free to marry another, only in this case, Jesus died, and we marry the risen Jesus Christ under the New Covenant.
Exodus 34:28 And he was there with the LORD forty days and forty nights; he did neither eat bread, nor drink water. And he wrote upon the tables the words of the covenant, the ten commandments.
Deu 4:13 And he declared unto you his covenant, which he commanded you to perform, even ten commandments; and he wrote them upon two tables of stone.
Deu 9:9-11 When I was gone up into the mount to receive the tables of stone, even the tables of the covenant which the LORD made with you, then I abode in the mount forty days and forty nights, I neither did eat bread nor drink water:
And the LORD delivered unto me two tables of stone written with the finger of God; and on them was written according to all the words, which the LORD spake with you in the mount out of the midst of the fire in the day of the assembly.
And it came to pass at the end of forty days and forty nights, that the LORD gave me the two tables of stone, even the tables of the covenant.