Using the CDC's definition, I can be producing Bb antibodies, but if they are not at the right level, it is not deemed sufficient to declare an active infection, and I could be judged seronegative. Hell, I am seronegative by the CDC 2T method if I have a positive ELISA and four WB IgG bands specific to Lyme.
Actually, there are those in the IDSA school - and Steere is one who promoted this early on, I believe - that say a previously infected patient, who has seen Lyme resolved, may produce Bb antibodies for the rest of his life.