Really? Or do you mean not every tests positive for seroconversion months after infection. I mean, I suppose there might be some folks that are so severely immunocompromised that they cannot mount an antibody response, but surely the vast majority of infected do mount some antibody response.
In other words, the authors found a population that apparently did clear the infection this quickly, and they didn’t scour a particular large cohort to find these people.
[0] which you shouldn’t.
This wasn't your point but I'm trying to see whether this is accounted for in the study. I don't think it is, unless I missed something.
The study's self-reported long COVID group is people who in the past 4 weeks experienced any symptoms that had been ongoing for 8+ weeks. If these infections were 8+ weeks ago, these people would probably be seronegative anyway. To put it another way, seronegativity now doesn't rule out an infection 2+ months ago, so for some of these people their belief that they had COVID may match reality more than this article implies.
I don't know if there is a way to reliably identify a 2+ month old infection but I think you would need that to be able to say anything definitive about the linkage.
In the area of "lingering aftereffects", I see a lot of affinities between covid and lyme disease: both usually don't have long aftereffects, both can cause some serious aftereffects that take a long time to go away; both also have a population of people who have real and persistent negative health consequences that were not caused by the initial pathogen but are attributed to that pathogen by the person who has them.
The third group is the most troublesome, because they require both compassionate recognition of their subjective suffering and also a clinical decoupling between that suffering and its ostensible cause, and that's a hard thing to do well.