My kids can't read my cursive! They always make comments about having to sign anything; they don't like the fact that their signatures look bad. I keep telling them that when they find themselves sitting down for a stretch, get a piece of paper and practice! They haven't had to do much in the way of handwriting, except class notes, lately; they do almost everything on computers.
Just for fun, go back and try to read a handwritten document from the 17th or 18th century. While the penmanship was beautiful from a purely aesthetic standpoint, it's nearly illegible to us today.