Before revision:  The well-known "looping default" case is shown to be equipped with this property, to be linked to the classical "Freund distribution" , and to allow for a new construction with immediate multi-variate extensions.
After revision:  The well-known "looping default" case is shown to be equipped with this property, and we point out that it coincides with the classical "Freund distribution" , and to allow for a new construction with immediate multi-variate extensions.