UPDATE:
I have been able to access the book "Metals in Past Societies" that was claimed as source for 2000 BC or earlier iron metallurgy.
As I expected, the book is far more nuanced than the optimistic claims from the link provided above.
The apparently very old datings of iron metallurgy are datings of charcoals.
The book explains that charcoal datings provide very little information about the true age of the iron working environment where they were encountered, because the age is not the age when charcoals were made and used by the iron smiths, but the age when the tree had grown.
In the area where the charcoals were found, there are trees that live for hundreds of years or even for millennia, and there are also dry places where wood can be preserved for hundreds of years after a tree had died. Dead wood would have been preferable for making charcoal, because it is already dried.
So if a charcoal is dated to 2000 BC, that only provides an upper limit for the age, but the iron smiths who used the charcoal might have lived even one or two millennia later.
I suppose that improved dating is the reason why the more recent article for Nature only mentions 300 BC as the age of Nigerian iron working sites, instead of citing the older claims about a greater age.
That said, the evidence makes likely that iron metallurgy in Sub-Saharan Africa developed mostly independently, though its beginning might have been caused by information that had reached that area from the North.