The way I approached this with my kids is to teach them at home. They did not learn handwriting or how to read an anolog clock from school. They learned how to be really quick on a keyboard but they did not learn proper form and will never type at professional speed because of it.
I encourage “the arts” because so much of it has been stripped from public schools. One dances, one is in the community theatre, one has learned the base, guitar, piano. None of which were offered in school anymore.
More to your point,
Handwriting is an art. A practical one. We should hold onto it. I would also push some instruction for calligraphy.
We are losing a lot of skills because of the advancement of technology. Skills that will be missed if we find ourselves without that technology.