There appears to be a direct correlation between the specific type of sin offering and the sacrificial cure that the Lord specified. For instance, a Guilt Offering required a kidney. Kidneys purify the body's system. Or the Fellowship Offering required a cake. Bread is something that you break with friends.

I also suspect further bible study would reveal that the specific sin would has a correlated "symptom" that operates underneath the obvious, such as Guilt produces high levels of a chemical that produces kidney failure, etc.