You are correct. Mutations are random. The only even remotely valid point made by those fearing vaccination effects is that vaccines may cause selective pressur

You are correct. Mutations are random. The only even remotely valid point made by those fearing vaccination effects is that vaccines may cause selective pressure where the random mutatations that escape vaccine-induced immunity become more dominant. But even that point doesn't mean vaccines shouldn't be employed because 1. The same selective pressure exists for natural immunity 2. The implication is that we shouldn't get vaccines, because we may get variants that get around our vaccines. This is like asking the fire department not to put our a raging house fire because it might cause water damage to the home. Its also worth noting that none of the major variants observed so far came about after vaccines began being used on the population at large, and the above point about selective pressure at vaccine immunity is only an issue when large swaths of people aren't getting vaccinated, allowing the virus a large number of "shots on goal" to mutate in a way that eventually provides escape capabilities. There is absolutely no logic to these arguments about vaccines causing mutations.