I was surprised to see it was this mod the cause of the problem, I didn't see where it could interfer with animals. It seems your mod use the filltype files to manage the durability, I tried the "5 years" instead of the don't expire for the chickens but it didn't help. If you can add exceptions maybe the filltype categories animal/horse could change something if they aren't concerned anymore.
Indeed, if we can manage by building it'll be perfect