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the DSM-5 defines narcissism as being characterized in part by a "need for admiration." while this is true for most of us, i think it's a bit of an oversimplification to identify every narcissist's supply needs as just "admiration."
many narcissists just want acknowledgement. supply may not just mean praise and reverence, but also simple care. not a need to be worshiped and treated as godlike, but to be spoken to and treated as an important human being.
others may not just get supply from positive attention, but also negative attention. i've heard others talk about reveling in the thought of being the subject of someone else's resentment or hatred, just because it makes them an important figure in their life.
some narcissists seek out any attention, regardless of whether it contributes to an idolizing reputation; narcissists who become self-destructive because they know it'll get people's attention.
i think most narcissists appreciate admiration, but narcissistic supply isn't just that. what all narcissists have in common is that we need more attention than most people, be it because we were deprived of it when we needed it most or because we never learned how to live without it.
regardless, none of us really have the innate ability to feel important and appreciated unless we're given as much attention we can get.