Some colleges have told students that they need to get vaccinated by this fall, but others are saying that they won't and don't think they are legally allowed since the FDA has not given full approval for any of the vaccines. They only granted emergency use authorization. https://abcnews.go.com/Health/wireStory/us-colleges-divided-requiring-student-vaccinations-77016006

It will take longer to get full FDA approval for children getting the vaccine because those studies started later https://www.10news.com/news/coronavirus/in-depth-how-full-fda-approval-would-impact-vaccine-mandates-competition

If they are required before they are approved, that's one way covid vaccine requirements could be different than the existing requirements in many school.

I assume most vaccines (flu, measles, etc) are pretty safe, though I haven't really researched it. But I can see a strong possibility of society getting very dystopian over the next 50 years or so. I see further merging of corporate and government power plus increased interest by governments in genetic modification of citizens. According to John Ratcliffe, China is already attempting to develop genetically modified super-soldiers. Publicly, the US might just create augmented soldiers using other technologies like cyborg tech and exoskeletons, at least at first... But I don't think they would just let China race ahead when it comes to genetically enhancing humans (including enhancements like "obedience to authority"). Covertly or not, they'd want to do similar experiments.

Gene therapy is something that can be done by injections today. I think now is probably a good time to push back on the idea that an injection can be required in order to do normal things like go to school. Any freedom is hard to get back once it is given away and I expect that to become even more true in the future.