the connections between Muzan and Naraku is that both were once regular humans that suffered from a condition that left them physically handicapped (Muzan suffering from an illness and Onigumo/Naraku being heavily burned), turn into legendary demon lords by their desire to overcome their condition; with very similar appearances, both are cunning and cold-blooded, with the ability to possess the body of others and create armies of lesser demons to fulfill their goals, which is achieving true immortality; both tend to manipulate people to their side with false promises and hopes before disposing of them when they're no longer needed, and despite their huge power, they rarely get involved in direct conflict and are extremely paranoid over the idea that they're not as invincible as they seem, which results in a pitiful breakdown when they're finally defeated, also both were women once
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