I've never had the pleasure of having to use the multifarious concepts, but W3C XSD (https://www.w3.org/TR/xmlschema11-1/#sec-schema-validity-and-docs) has three notions of schema validity. Part of how it manages three types of validity is because the validation attempted on different parts of the document can be 'full' or 'partial'.
400e55e makes valid optional (which is good, e.g., for parsing for well-formedness) but, ironically, it's still an xsd:boolean.