Vaccine-based immunity allows for a greater variance in neutralizing antibodies to form relative to the spike protein, compared to natural immunity attacking less critical vectors. Get the vaccine even if you had covid
It's not a binary "You have COVID" vs "You don't have COVID". Not for vaccines, nor for re-infections.
I don't think the word "rare" applies any longer. Reinfection is becoming more common. Here is some info CDC released a few days ago: https://www.nytimes.com/2021/04/21/health/vaccine-nursing-ho...
An unvaccinated health care worker set off a Covid-19 outbreak at a nursing home in Kentucky where the vast majority of residents had been vaccinated, leading to dozens of infections, including 22 cases among residents and employees who were already fully vaccinated, a new study reported Wednesday.
There is also preliminary evidence [1] to indicate that post-infection vaccination can help to resolve lingering symptoms such as fatigue, breathlessness, and insomnia.
[0]: https://www.journalofinfection.com/article/S0163-4453(20)305...
[1]: https://europepmc.org/article/ppr/ppr296506