It seems that he probably was only able to be reinfected because he didn't produce antibodies the first time around.
Well, we don't have any evidence to conclude that. The effectiveness of any chemical in the body, or any drug we introduce into the body, is going to depend on the dose, or the amount. A baby aspirin might not cure your headache, but a larger dose will. It's possible that he did produce antibodies first time around, but a few weeks later they had declined to too low of a dose to effectively fight off infection.
I don't think there's ever been a case where a person was antibodies positive and COVID negative at least a few days prior to a reinfection.
There have been only 33 documented reinfections, and each one had different data collected about it, so it seems too early to say that there hasn't ever been such a case.
I'll take a look at some of those 33 and see if any pop up.