I have done a bit of reading on this subject, and from what I have read, I get the impression that a high C3 does not necessarily negate a high level of double strand DNA antibodies. However, I am not completely sure that I am correct. Much of what I have read has been ambiguous, and I am a layman, so I could be reaching the wrong conclusion.
There is an article on the Lupus Foundation Website that covers the lab test result issues in a fairly basic non-detailed format. The link is-
There are other, far more detailed reports available that require a subscription to access. The New England Journal of Medicine has one that is supposed to be fairly detailed. I've been meaning to subscribe and dig into it, but lately brain fog has been bad, so I've not been able to read much.
Our Admin, Saysusie, is very well versed on this subject, and I will bring your question and post to her attention so she can chime in with her opinion.