Ford hosed me as I expected but their reasoning was slightly odd. The lady told me that if I had paid the 30$ for the dealer to clean the terminal earlier that week like they suggested, the part would have likely failed on them. Which they would have paid for and covered a rental for.
So basically it was going to fail but since I was the lucky one, I got stuck with the bill. They kicked in zero even though I had to rent a car for 5 days beyond originally expected due to them having a delay in parts.
I got my car back which is what counts, just sucks they couldn't chip anything back in. Oh well!