I have two quilts with the 'loose' polyester -Mountain Mist brand (unneedled? I don't know the correct term for it) that have been in use for over 10 years and washed at least ten times each - I haven't noticed any bearding. One was hand quilted, one was machine quilted by stitch in the ditch.
However, one of the women in my quilting group made a navy jacket and she had issues with bearding.