They face extremely low risk from covid, and the potency of covid vaccines wears off. So I don't see why covid shots for infants are necessary. They can get them when they are older.
I don't know whether you realize this or not, but one of the biggest benefits of a vaccine has nothing to do with personal injury risk. It's about preventing spread. Children are extremely effective vectors for viral spread, as I think anyone who's had a kid bring a disease home from school/nursery will know too well.
Case in point (anecdotal of course, but still): for the first few years of his life, my nephew lived with the whole family. One day when he was like 1 or 2, he caught something at nursery. Just a slight fever and a big of complaining crying, nothing major, and it went away by the next day. Well, it went away for him; the next day, everyone else in the house, three adults including myself, all had a major flu or flu-like illness. We all spent the entire day with headaches, extreme abdominal pain, puking all day, and dry heaves (which honestly, were the most painful part of it all). Meanwhile, my nephew was all sunshine and roses while the rest of us suffered.
Point being: just because a child is at lower risk for a disease's complications, that doesn't mean they shouldn't get vaccinated, at the very least to reduce the risk of transmission.