If handwriting is still being taught in schools, it's being extremely overvalued. When's the last time a kindergartner, or any elementary student for that matter, was required to take a typing class? And yet, those students learn to type at a passable level.
Teach touch typing instead. The children will learn the same fine motor skills but with something that will be much more important throughout the rest of their lives. They'll pick up handwriting as necessary, but public education shouldn't hand out grades and devote significant resources to its teaching.