You just described the best scrambled eggs I've ever eaten, which was at the upstairs cafe at Fauchon in Paris at the Place de la Madeleine. Most sublime scrambled eggs I've ever eaten, very moist, not runny, flavorful but only seasoned with salt and white pepper, served with toasted brioche type bread, smoked salmon and chives, some fruit on the side, and a nice glass of Perrier Jouet champagne. They truly were extraordinary! Found out later, whilst enjoying an incredible pastry, that the secret to the scrambled eggs was that they cook them in a double boiler. The memory of this bruch is almost worth the small fortune I paid for it.