LOL @ the "Big Dong" comment - just count yourself lucky the BoB wasn't 'in use' when the batteries were leaking!!!
In addition to the comments here, notably by Fil M23, I think you have missed the point here. As CK has advised, you would need some form of mechanical warranty cover. Otherwise you don't stand a chance. When Fil M23 speaks about the cause that led him to the claim, he is forgetting about the technical and legal aspects of insurance.
It's far too complex and detailed for a forum, but it does relate to the Insured perils, excepted or excluded perils, uninsured or unnamed perils; leading from the proximate cause/Causation (legal def.)
To summarise: take it from me, you don't have a chance with the claim!