Mike I'd be interested in where you get the 96% from. Have you a link?
I just smell a rat that's all. Because in the early days of the virus, almost all tests were hospital admissions ie the very ill.
Those self diagnosing with mild symptoms stayed at home and didn't have a test.
If this 96% comes from this group of hospital admitted infections, they are the ones that would have most likely developed the anti-bodies.
Likewise I would expect the asymptomatic would be less likely to develop anti-bodies and the state hasn't got a clue who or how many asymptomatic ex Covid cases there are out there.
For example, I can well imagine if you did such an exercise on the Blackburn Spike cases, they would be unlikely to have developed anti-bodies.