No! If its is sound, with out checks, use it!
My only Mulberry bow, from a sound and clean stave, had the toughest sapwood of any I have taken a drawknife too!
The color contrast would be sweet looking, too!
I have seen in over 20 years of selfbow building and shooting, osage and black locust bows with sapwood, that worked great!
Treat every stave, as an individual!