Actually it doesn't pay to show false positives as the default action is to destroy the infected file. If an AV company got caught deleting clean data, they would be ridiculed publically and possible be open for civil action.
Citation, McAfee and Microsoft's relatively recent debacles with false positives.
That's true with your own data, but consider the others' data. Few will get far with a complaint that an email attachment got removed due to the company "security policy". For an exception, consider a home user who has switched from MS Windows. A few positive on his archived files will bring a smile of satisfaction that he made the right decision.
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