Depends on the batting. Mountain Mist Blue Ribbon 100% cottong batting ***cannot*** be pre-shrunk. It is not needlepunched, needlepunched through scrim, or bonded. This is also why it needs to be quilted 2 inches apart!
Warm and Natural can be pre-shrunk because it is needlepunched through scrim.
I'm pretty sure Quilter's Dream cotton can be pre-shrunk because it is needlepunched (but not through scrim).
If Hobbs 80/20 can be preshrunk, as someone else mentioned, then it is probably because it is bonded very well.