The people who tested positive are probably shedding spike proteins. It doesn’t mean that they’re sick.
True, but the real question is if they are shedding the spike protein because of lingering vaccine effects or because the spike protein got incorporated into their DNA. If it is the latter than we will have a portion of the population that will chronically test positive for this virus. Maybe this is why keep hearing "the virus will be with us forever".
Also, and perhaps most importantly, how would we distinguish between somebody who is testing positive because of spike shedding due to the vaccine and somebody who has real infection? If they cannot be differentiated, we are in a huge mess as neither vaccine effectiveness can be proven beyond reasonable doubt, nor can publicly released infection numbers be trusted at all.
Not sure if you saw my thread on the Australian vaccine causing HIV positive tests in some people. They immediately terminated all trials with it (as well as further development), because this opens a huge can of worms about either the vaccine causing HIV or the HIV tests given to anybody (vaccinated or not) being meaningless.