Special:SiteMatrix is displaying the dbname of the wiki (the special page column is named "Project"). The database name in the background was not changed by the renames of the wiki.
Not sure if this request could be resolved. That depends if there should be some name-mapping on the page or not.

• Related: T280400: Change the user-visible domain of OTRS wiki
• Related: T273323: Rename private "ombudsmenwiki" to "ombudswiki" and change the logo

• https://meta.wikimedia.org/wiki/Special:SiteMatrix / https://meta.wikimedia.org/w/api.php?action=sitematrix

{
    "url": "https://ombuds.wikimedia.org",
    "dbname": "ombudsmenwiki",
    "code": "ombudsmen",
    "lang": "en",
    "sitename": "Ombuds Wiki",
    "private": ""
},
{
    "url": "https://vrt-wiki.wikimedia.org",
    "dbname": "otrs_wikiwiki",
    "code": "otrs-wiki",
    "lang": "en",
    "sitename": "VRT Wiki",
    "private": ""
},

Related (for language wikis, not special wikis): T111876: Figure out how renaming languages without database names is supposed to work with SiteMatrix, and implement for be-x-old -> be-tarask