Additional Interest and Additional Insured

I understand the two things are different. I own an apartment in a co-op, and my co-op requires Additional Interest. I requested that from my insurance company (State Farm), but my insurance company made my co-op Additional Insured. After reminding my agent that I wanted Additional Interest instead of Additional Insured, she says that they're the same thing. I still don't think so. Is there any disadvantage to me, the shareholder, to retain this Additional Insured instead of insisting on Additional Interest? I don't want to waste my time pushing this insurance agent around if there's no benefit to it.