I've used 100% bamboo batting in the past. I did not think that it shrunk anymore than cotton does and it could have actually been the fabric that shrunk a little over the batting since I do not make a practice of washing all my fabrics before use.
It did get some fuzz on the other edges of the quilt top and backing as I worked since I start in the center when hand quilting. Once the quilt was complete and had gone through the washer and dryer it was clear of all fuzz.
My daughter just love the quilt I made. She said it is light weight to sleep under but very warm.
I figure that there are chemicals of some kind on every textile we buy to make quilts and feel good enough that they are mostly removed once washed.
Bamboo batting is the nicest batting I have ever used as far as hand quilting goes. The needle just glides through it. I haven't had a chance to try it on my long arm yet. Bamboo batting is very difficult to find in my area of the country. Next time I need to order, I will order a roll of bamboo and give it a whirl on the long arm.