Why is atonement by righteousness and charity ignored?

There is a foundational Christian doctrine that is often stated:

Without the shedding of blood, there is no forgiveness of sins.

The primary source for the doctrine is Hebrews 9:22.

According to Yehovah, charity and righteousness atone for sin.

• Proverbs 10:2 - righteousness delivers from death
• Proverbs 11:4 - delivers from death
• Proverbs 16:6 - steadfast love atones for iniquity
• Proverbs 21:3 - superior to blood sacrifice in His eyes
• Hosea 6:6 - what he really desires
• Daniel 4:27 - Lengthens prosperity

• Sin
• Forgiveness
• Charity