You are cherry-picking. If the goal were to just control the spread of the virus, they failed. If the goal was to reduce mortality and morbidity, they succeeded. You don't think the flu shot reduces flu deaths? It's because the "infecting systematically" part does still happen to some and that's the dangerous part.
It is saying that the body doesn't try very hard to fight something in the epithelial tissue of the nose and throat until the virus sets in further. This doesn't matter whether it's a first exposure or after a vaccine. You can still catch and spread the virus, but you avoid systemic complications.
According to FDA and CDC data, the covid 19 vaccine killed over 4800 people and had 380k adverse reactions, in 6 months
VAERS records correlation and doesn't assign causation. It's mostly a statistical tool. Even ignoring that and assuming all the deaths were 100% attributable to the vaccine, it likely still would have been ahead of deaths from the virus itself.