Lots of people who are vaccinated would probably test positive. So what? The virus will probably make them sick for a few days, or maybe have no symptoms at all. But they won't die from it. The vaccine apparently works against the Delta variant also.
When it comes down to it, most of us are probably walking germ factories, with all kinds of nasty things in our bodies, being spread every time we sneeze or cough, or even talk. But we don't even know about them, because we've been vaccinated against the worst of the lot.
I wonder how many people on this forum are actually still not vaccinated. I have a feeling that we all, or nearly all, have been vaccinated, many forum members have left this topic because they know they are protected and are sick of discussing it, and some people are just keeping the argument going endlessly for reasons I cannot fathom.