Far as I think,wool is a bad conductor of heat that's why when you wear any woolen clothes,it won't let the heat eject outside from your body to the surrounding..so,you feel warm!!!
Is Wool A Bad Conductor Of Heat?
Conducting and retaining heat are not similar... In terms of conducting I would say its poor but retaining body heat so that you feel warm.. Yes!!
Well, wood is a good sort of heat!! Cause maybe you went camping and you need heat to warm your food!! So wood isn't a bad conductor 4 heat! (bur wood is an insulator! Just 2 let you know!)
Your question is a bit tricky.But what I feel is that wool is a good conductor of heat thats why it keeps us warm.