Weird. Seems to work for Airbus, Allianz, BASF, E.ON, Fresenius, LVMH Moët Hennessy Louis Vuitton (and its subsidiary Dior), SAP, Schneider Electric, TotalEnergies, Unibail-Rodamco-Westfield and Vonovia.

Of course, that's the existing pan-European SE which is a public company. Needs like a few sentences changed in the existing regulation to extend that to private companies. https://en.wikipedia.org/wiki/Societas_Europaea