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So I understand that many people admitted to the murder. In South Africa, there was a specific admission to the murder by Craig Williamson, who is a ex-special agent. I don't think that here there is the same phenomenon by which multiple people admit to the murder in a delusional way.

This admission was done as part of the TRC (Truth and Reconciliation Commision). There is no reason here not to believe them. The only thing I can think of is delusions of grandeur, but like I say, I don't know of many TRC revelations being untrue.

Don't know why this was downvoted.

But here is the answer [1]: "The new definition only became possible when instruments were devised to measure the Planck constant with sufficient accuracy based on the IPK definition of the kilogram."

https://en.wikipedia.org/wiki/Kilogram

Is there a reason why this took so long?

It seems like a lot of the comments are here from Swedes, and probably that is the working definition here for what consists the common perception.

Is there a simple argument why it was not South African special police? I understand that the Swedish police decided it implausible, but did they explain why?

I think the amount of paranoia and turbulance in SA during the 1980's and the other operations of the special army/police factions make it a somewhat believable possibility. The other thing to keep in mind is that during that time a lot of people were already acting in a sort of "rogue" way. There are always people that go to the radical extreme before a change in power.