I feel like projection is a product of a lack of self-awareness.

All of it ties to narcissistic traits; narcissistic personalities speak through and in service of the ego, which the narcissist perceives as infallible and supreme. Therefore the self-reflection required to check oneself before making statements and accusations about the behaviors and beliefs of others is nonexistent.

Besides, even if what a narcissist says about another person can also be applied to them personally, they see themselves as a righteous exception. Perfect example is the narcissist’s prayer.