Both of your comments have described concepts that are very important to understand when discussing medical interventions, especially at the population level. Y

Both of your comments have described concepts that are very important to understand when discussing medical interventions, especially at the population level. Your reasoning is correct, I just wanted to add the terminology we use: Absolute risk reduction (ARR), relative risk reduction (RRR), number needed to treat (NNT), number needed to harm (NNH). Reading about these is a good starting point for anyone wanting to understand more about the decision making process.