Yes, this is the correct reading of the specification. But many XSD schema validators provide only a yes / no answer; they actually do not create a PSVI.
The Xerces validator certainly gives you access to the full PSVI, although I am not familiar with the API you need to use to view it.
The Saxon schema validator gives you access to the part of the PSVI that XSLT and XQuery use for the schema-oriented and includes extension attributes by default.
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