I would love to be proved wrong for a number of reasons, in Europe Turbine aircraft require a type rating regardless of weight and this does not carry over under automatic privileges as I understand it.
Why not? Article 26 has no limitation on aircraft class or type. If your FAA licence meets ICAO standards to permit flight in an SET or MET, Art 26 renders that licence valid for private flights. Of course, without IFR in controlled airspace it's as much practical use as a chocolate teapot...