CV and mad panic behaviour

[dodge]

Just a question:

My understanding is that one of the vaccines reduces the symptoms/effects in the person who has received it, but doesn't reduce the transmission towards other people.

Is this correct?  If so, how is it a panacea - it would require the masses to be vaccinated for it to have a lasting effect of reducing the virus? Is this how all vaccines work? If not, please pretend I didn't ask the question!

I have only had the flu shot a couple of times - I've never had the flu.  Partly my constitution, partly luck, partly others having had it?

I'm not sure where I sit on this one - certainly believe in vaccines (polio, measles etc seem to have done pretty well!), certainly not a conspiracy theorist, I trust reputable science, but I don't have the same sense of conviction about this.