So you want the numbers sand bagged with natural immunity disguised as no vaccine?
If you're trying to hide the facts about natural immunity, it makes sense to bury the data in the unvaccinated cases since they are technically unvaccinated. But we aren't really concerned with who can say they were vaccinated. We are concerned with the efficacy of the vaccination, the resistance to COVID, regardless of vaccination status (the results of which would still be worse than natural immunity). So even though it's easier to track vaccinated vs non vaccinated than COVID vs non COVID (based on reporting and privacy), it still doesn't detract from the fact that there are 10's of millions of naturally immune folks in the US who are being either counted falsely as a vaccinated result or an unvaccinated result.
If the point of a chart or study related to it is to confirm a su ion, they'll count however they need to. However if the point is to find the facts, they should consider natural immunity and let the other chips fall where they may.