It works that way yes, especially for the flu that changes so fast that its vaccination is no immune guarantee but rather helps to have milder symptoms. I guess

It works that way yes, especially for the flu that changes so fast that its vaccination is no immune guarantee but rather helps to have milder symptoms. I guess how it's promoted depends on where you live. Also don't forget that not everyone has good cognitive capacities and such probabilities (you might still get sick with the vaccine, but symptoms might be milder) are not easy to grasp for everyone. I guess they just wanna keep the public message straight and simple.