Leaking heater core... on 2006 Honda Civic

Can the heater core break due to blown head gasket? My insurance company said no and hence won't pay to fix the heater core although they paid to replace the engine, radiator, and other accident related damages! If you are experienced certified mechanic your response/help will be great as I plan to pursue in the court.

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1 answer
I cannot help you in court but in certain circustances I have seen a blown head gasket cause failure of a heater core.