Unless the child is immunosuppressed, outside of a novel pandemic scenario, a vaccinated child is not likely to contract a very serious infection beyond the common cold or flu by being in childcare. Much of that can be mitigated by giving parents the flexibility (sick leave) to keep their children home while ill.
> I work on the top floor of a building that has a YMCA daycare on many of the bottom floors, and I often get sick passing through there on the way to work.
Perhaps you are uniquely susceptible? I don't think this generalizes to most people if they practice public hygiene habits like washing your hands when arriving at the office.