I never thought the vaccine would stop the spread of COVID. My understanding was that it may lessen the severity of the symptoms. Therefore, people with underlying conditions should receive the shot, while those in good health (like children) should have the choice to opt out.
I don't get the flu shot either, but I've also never gotten really ill. At least not ill enough to be hospitalized. Usually a quick visit to my doctor does the trick if I feel horrible.
Btw, now they're saying that receiving both (vaccine and flu shot) may increase the risk of stroke for some recipients.