Always Ask: “Without diminishing the role, these kids have parents who have a mitzva of teaching their kids and they are capable of hiring a melamed”
Theoretically, yes, but unfortunately nowadays it is so often the case that parents are not mechanech their kids properly, and it is up to the melamed to instill Torah values. Speak to melamdim and you’ll hear lots of hairraising stories of kids who are being “allowed” to go off the derech by their parents being ineffective and/or scared of the kids.