My experience has been no, but I never actually did put a hut by the pigs. My understanding is they only collect crops. I know they don't collect tree sap. Oh, and they are seasonal workers. They take the Winter off. And they don't work in the rain... lazy buggers...
Isn't Simon Legree the cruel slave owner in Uncle Tom's cabin? *envisions Simon whipping a Jumino "you WILL FINISH harvesting the crops, or no dinner for you - for a WEEK!" As I haven't got this yet, just need to confirm: they'll harvest crops but no fruit from fruit trees, and they'll leave truffles and sap alone?
I used them for just a little while on a different save. They only harvest crops, not fruit trees or truffles or sap.
Early in my jumino experiments, I forgot which flowers count as crops. Hello, bouncing buddy, goodbye fairy rose honey. Learn from my fail.