If your child can read (independently, with a little help), then let them know. The reason I feel it's important to list books/series he's read and enjoyed is because then you've created a paper trail. You've informed them of your child's ability in reading and then they can't pretend to not know later.
The kindergarten teacher we had told me straight up that the sole focus of kindergarten was to get everyone reading by the end of the year. Math was not a focus at all, nor any other subjects, really. So... when you have a kid that can read, you kind of are left wondering what they are going to do with them all year from the get-go.
