"Some of the older military folks can chime in if I'm wrong, but I have a "GI" type parka that I believe has (super thick, like almost 2") wool batting. It is super old, has a coyote fur ruff, weighs about 10 pounds, and is almost too warm to wear even in the coldest weather northwest Washington has to offer. It came paired with some insane rubber vacuum insulated boots. I can't remember where my brother found it."
Not military folk here.... But I will chime in to say that your 2" coat is felted wool, not batting. Nothing can be sewn out of batting, as it is loose wool that you can tug apart. Batting, and the combed version~ roving, can be felted into a thick, dense material, Felt.
Batting works as stuffing in between layers, somewhat like down but way heavier.