Completely tone-deaf person would not be able to recognize voices, e.g. tell male voice from female, father's voice from mother's. Obviously there are cases like this, but I believe very few.

On the other hand reproducing the tone requires practice, and mostly practice with your vocal instrument.

I would imagine that kids who grow up in families where e.g. mother sings while cooking, don't even notice how they practice at the age of 2 or so. But what is important, they train their voice, not only hearing.

It is like with colors. A person can see colors perfectly, but if you asked to mix acrylic paint to get chartreuse? Most of the population would struggle I would believe. We wouldn't call these people color-blind.

However with music I feel we somehow mix tone-deafness and ability to sing/reproduce tone.