Zotero does render PMID and PMCID if they're entered as PMCID: 123456 in the extra field, which is how they're imported, too, so this will work in Zotero.
Since other CSL styles don't print "US Patent" (but rather rely on people to include that in the Patent No. field) we'd want that to work the same way here (otherwise switching between styles becomes impossible).
 
Which CSL style do we have that uses authority for patents?