I'm a European trained chef, and can confirm this. The sauteuse, as defines above is mostly uses for sauces, expecially hollandaise and the likes, because the sloped sides come in handy when whisking everything in the traditional 8-form. The sautoir has straight sides, and we use it often for risotto and the likes, but also for baking meats, because it is easier to pour in some liquid to loosen up all te nice residue.