I also had my then 6 year old do a page a day of Handwriting Without Tears for a year. He had horrible handwriting in first grade, thanks to being in a Montessori kindergarten where they didn't do any penmanship at all.
In second grade now, his handwriting is pretty good. It isn't the best in the class, but it's probably average. I did not want his handwriting to hold him back in the future. I think it's very important to be able to take notes or write essays quickly without your hand getting too tired, so being able to write the words correctly is vital.