Polyester battings are more prone to bearding than cotton, although I have heard a few reports of Quilter's Dream cotton and Warm and Natural cotton bearding. Soft and Bright is needle-punched polyester:
http://www.warmcompany.com/sbpage.html
Here is an article that explains right and wrong sides of battings that are needlepunched through scrim:
http://www.apqs.com/blog/2013/01/22/...n-up-and-down/
Not all battings that are needlepunched are needlepunched through scrim. I believe the Quilter's Dream cotton battings are that way -- needlepunched cotton, but not needlepunched through scrim. Scrim adds a little stiffness to a batting, so the QD battings tend to be softer than those needlepunched through scrim.
I'm not sure if needlepunched battings that do not have scrim also have a right side and wrong side. I'm thinking not, as I assume the needlepunching is done from both sides. I see from the website that Soft and Bright polyester is needlepunched, but they do not say if it is needlepunched through scrim. Perhaps it is, since their needlepunched cotton batting (Warm and Natural) is needlepunched through scrim.
Why is it manufacturers of batting do not label their products better? You'd think they would want us to use their products in a way that does not disappoint (as in when a quilt beards because the batting was layered incorrectly).