Mismatched breakers may void the warranty of the electrical components, but it's very unlikely that an insurance claim could be denied from such a condition.
Generally, there are no "functionality" issues with mismatched breakers, and if they fit properly, there's no concern.
Panel manufacturers list their panel-boards for specific breakers - typically of the same brand. The NEC requires that equipment be installed per the listing provided by the manufacturer. So "technically" it could be a "code-violation."
I think the inspector was misinformed.
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If your inspector is not using thermal imaging, you're not getting the whole picture. ™
Jeff Pope
JPI Home Inspection Service
Santa Clarita CA
(661) 212-0738
http://www.MyInspector.net