In the Priestley order, atonement was through sacrifice and often covered all sins of all Jews, as in Yom Kippur. In the Rabbinic tradition, repentance effected atonement but still was a key component of the Priestly tradition. In fact, one would be atoned with God entirely upon repentance even though other rituals and duties might still not have yet been completed.
Hebrews 8:10 and 10:16 are a reference to Jeremiah 31:33.
We can understand the Christ of Hebrews as being High Priest, a constant mediator for all human kind. Why? Well, that’s how the story goes. That is, if you’re a Pauline Christian who thinks that Gentiles are God’s people too; ala there is no Jew, no Gentile, no male, no female, and so on, in Christ.
That means necessarily that our understanding of salvation comes entirely to us through Judaism first.
In that case, salvation is universal.
“This is the covenant I will make with them after that time, says the Lord. I will put my laws in their hearts, and I will write them on their minds. Their sins and lawless acts I will remember no more.”
Every man, woman, and child has Torah in their heart. But again given Paul and other authors and themes in Hebrew scripture, Christ himself is Torah. One then confesses Christ in hearing Christ within and acting toward rather than away from the draw toward the good we’re being called to. This is salvation. Christianity itself is simply how some folks talk about salvation in a particular way. The former is not dependent on the latter.
Just a thought.