I disagree. While it’s frustrating that people believe politicians and talk show hosts over scientists, it’s reasonable to fear something you don’t understand. What’s immature is a lack of critical thinking which much of the population seems to exhibit by choosing to listen to others or, in doing fact finding, allow for confirmation bias.
This statement is not helpful. If we’re looking to increase the number of people getting vaccinated, shame or embarrassment will likely lower that number further. People have a fear of making the wrong decision. If you share with them that you’ve been vaccinated and leave it at that, that’s someone real who has contradicted the narrative they subscribe to. If they respect you as a role model, they may change their behavior.