Herd immunity is something that may not happen world wide, as it has only happened once on a global scale, with the eradication of smallpox in 1980. This was only after a decade long world wide vaccination campaign. As for vaccinations not influencing herd immunity, especially against Covid, if we could vaccinate everyone, yes, the consensus is that some can still get Covid. But they don't die from it. And if they get it and get over it, they build up immunity. Eventually the virus can't find a suitable host, but it may take years. And requires the whole world to be vaccinated. The answer may be protect the population with our present vaccines, but develop a vaccine that prevents infection. I don't even know if that is possible.

