i have been long arm quilting for quite a few years now and never have i had a quilt come out (fuzzy).
my customers use all kinds of different battings, (thankfully most use the warm products) some of their batts i hate, but i use what they bring and want used, never has a quilt come out with fuzz on the outside of the quilt, i would be taking a lint brush to it and asking the quilter just where all this fuzz came from.