Was the sacrifice of Hebrews 9:7 preventative?

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Hebrews 9 compares the annual sacrifice of the high priest (v. 7) to the greater, one-time sacrifice of Jesus (vv. 11-14). In verse 7, the writer states (NKJV, emphasis mine):

But into the second part the high priest went alone once a year, not without blood, which he offered for himself and for the people’s sins committed in ignorance.

Would this sacrifice have been even for sins people never knew were committed that year? In other words, were some sacrifices given under the Law of Moses to account for sins one may never know they committed (as opposed to ones they committed in ignorance but eventually discovered)? If those people would die without ever realizing some of their past acts were sinful, would they have been considered obedient in God’s eyes on account of this yearly sacrifice?

And a bonus question: If the sacrifice of verse 7 is, in fact, preventative, being even for sins one may never realize, would Jesus’s even-greater sacrifice do likewise, I assume?