ABSTRACT - Many media and public-record statements, including Congressional statements and testimony, since 2022, have often asserted that COVID‑19 vaccination in the USA prevented some 100 million infections, saved some millions of lives, saved some tens of millions of hospitalizations, and saved some 1 trillion dollars in associated medical costs. These fantastic and unverifiable claims are based on theoretical models of so‑called counterfactual scenarios, which are back predictions und...