Oh yes! Where I am (UK), the public messaging during the later stages of Covid had everyone convinced that we needed to both vaccinate and keep up all sorts of existing restrictions, to stop Covid spreading and mutating. Everyone who doesn't take all the precautions and catches Covid is a potential source of the next variant that might kill grandma!!
I meant this statement. No-one has ever suggested that the flu vaccines will stop the overall flu outbreak from growing.
Reducing the odds of infection also strongly depends on the extent to which that vaccine provides sterilising immunity.