This really wouldn't bother you??? You really wouldn't mind not knowing?
One giant reason that knowing for sure would be helpful is knowing that you're less likely to get reinfected, and likely less likely to have serious effects if you do end up reinfected, if you previously had it (even if blood antibodies have faded, your T memory cells may still help you out). This might change your behavior going forward.
However, on the last point, I'm afraid that thinking might potentially prove quite dangerous. As far as I can tell (from closely following the medical literature, though I am not an immunologist and don't claim any authority on the subject) we really have no idea as to how quickly immunity decays, every single cellular immunity (T cell) study I've seen is extremely limited methodologically and we have no clinical evidence whatsoever to suggest that reinfections would have a milder course. If that turns out to not be the case, people who behave incautiously based on their test results might significantly endanger themselves.
This has been repeated ad nauseam but there has been no proof of any long term or permanent side effects from COVID, especially for asymptomatic cases. There are a few anecdotal cases but nothing concrete. Yes, if you get a bad case of COVID with a harsh pneumonia, that will result in a lower lung capacity for a while but that's always what happens after lung damage. But to say "lots of potential side effects" is bordering on disinformation.
It's been 7 months now, we would have known by now. It makes absolutely no sense to keep pushing for the "we don't know a lot about the virus so we can just assume the worse and there's no way to prove otherwise" arguments after 5m+ infections and still no evidence even with almost every scientist and every doctor in the world being focused on COVID right now.
1) https://academic.oup.com/brain/article/doi/10.1093/brain/awa... "The high incidence of acute disseminated encephalomyelitis, particularly with haemorrhagic change, is striking. This complication was not related to the severity of the respiratory COVID-19 disease."
2) https://www.nature.com/articles/d41586-020-01891-8 (on the possibility that C19 may trigger diabetes)
3) https://medicalxpress.com/news/2020-07-physicians-comprehens... (on the systemic effects of C19, many of the acute complications have chronic effects detailed in the full study if you care to read it)
4) https://www.thelancet.com/journals/lancet/article/PIIS0140-6... (on Kawasaki-like autoimmune disease in C19-infected children)
5) https://www.thelancet.com/journals/lanres/article/PIIS2213-2... (post-C19 lung fibrosis)
Note that I've only cited evidence from highly cited and peer reviewed studies. There's a lot more if you care to follow the medical literature, but I think I've proven my point. 7 months is actually extremely little time for proper epidemiological studies on long term complications, it will take years to understand the prevalence and relative risk factors. What is clear, however, is that there is plenty of clinical evidence for different kinds of long term complications that necessitate further research.