The unspoken implication of this proverb, which comes in a section on nurturing, is that although a servant will not be corrected by words, a child ought to be. The difference between a servant and a child is enormous and is used by the apostle Paul as an illustration of the difference between the old covenant and the new covenant.
A parent bringing up their child must move beyond this sort of master slave relationship. The child must be made to feel loved as a member of the family. Correction must be tempered with praise. There must be allowance for mistakes, for learning, even for disobedience, without the threat of being disowned as a child. There must be forgiveness on the part of the father and mother, and not just the sort of inflexible regime that might apply to a servant.
The relationship between Christians is more like that between parents and children. We are always gracious with one another. We deal with each other in the hope that God will change us, sanctify us, and conform us to the image of Christ. We forgive one another; we bear with one another; we pray for one another. We are heirs together of the grace of life. Therefore we admonish each other gently, lovingly, patiently. We understand and appreciate the voluntary principle, since all that God’s people do to serve the Lord has value because it is offered freely.