Your kids only get half your DNA, their kids only get half their DNA, and so on. You can eventually end up with descendants who have none of your DNA.
If the genetic isopoint really was after the Neanderthals went extinct than everyone in sub Saharan Africa has Neanderthal ancestry even if none of them have Neanderthal admixture.
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Admixture is different from ancestry.
Your kids only get half your DNA, their kids only get half their DNA, and so on. You can eventually end up with descendants who have none of your DNA.
If the genetic isopoint really was after the Neanderthals went extinct than everyone in sub Saharan Africa has Neanderthal ancestry even if none of them have Neanderthal admixture.