Don't they have to be over 16 to be eligible for the vaccine? My kids aren't old enough yet, but if they were, I'd probably let them decide. I figure that 16 is old enough to weigh the choices and the possible consequences for either decision.
We had our oldest child vaccinated. I didn't want to get the vaccine myself originally, but because we live in a large, southern, conservative city, few people have taken the vaccine. There will be no herd immunity here, folks refuse to wear a mask and social distance, and plenty of business folks in the community travel internationally. In other words, there's plenty of risk to go around. So, we all got vaccinated including our teenager. Our teenager wants to get back to school, hang with his friends, play basketball when it resumes, and date again. I just don't see how he could do those things safely without getting vaccinated. I pray it was the right decision.