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> "(anti SARS-CoV2 IgG positive, specificity of the method >.99%)"

This is a misprint. They meant to say 0.99 or 99%, not .99%

That means it's very reliable that any positive signal originates from covid19 antibodies, instead of from something else.

That does not mean that it's 99% accurate with regards to sensitivity.

Preliminary data from China suggests that a non negligible percentage (maybe 5%) of recovered patients never produce the neutralizing antibody.

This would mean the antibody test alone cannot tell the full extent of community spread. There's a brief summary of antibody knowledge here.