It is important to note that given the timeline in the study (March 2020 to Jan 2021) most of the COVID-19 group was likely unvaccinated. It remains to be seen whether vaccination protects against these same risks.
Edit: This is confirmed in the supplementary data. Only 347 (0.23%) of the 162,690 people in the COVID-19 group were vaccinated prior to infection. That being said, a reasonably large percentage (61.93%) were vaccinated by the end of the follow up period, which would seemingly indicate that vaccination post-infection doesn't help all that much against these risks.
I'm not sure how that contradicts what I said? Most of the people in the COVID-19 group tested positive before the vaccines were approved in December 2020. Yes, they might have been vaccinated afterwards, but my point is they did not have vaccine-induced antibodies at the time of their infections.
Edit: This is confirmed in the supplementary data. Only 347 (0.23%) of the 162,690 people in the COVID-19 group were vaccinated prior to infection. That being said, a reasonably large percentage (61.93%) were vaccinated by the end of the follow up period, which would seemingly indicate that vaccination post-infection doesn't help all that much against these risks.