DY – Even though this is addressed to hello99 & I’m not 100% sure what you are talking about -let me take a crack at it.
Of course; this is an open forum and anyone can interject (and especially since you’re heavily involved in the discussion).
Again this was done as a L’chatchilla, not as a B’dieved!
I don’t think it was arranged like this for any other reason other than the fact that the oven cooling was sometimes unavoidable.
See Darchei Moshe 253:7 (same R’ma) who quotes the Ohr Zarua who saw in his rebbe’s home that they were mattir reheating the cholent which occasionally cooled, only because it hadn’t entirely cooled or because they (the servants) did it for themselves. (It would seem that this is the basis of the R’ma in S.A.)
See M”A (38) who quotes this D”M, and PRM”G (E”A) who comments on this and is further lenient, but stipulates that it must be a shvus d’shvus, and is muttar because shvus d’shvus is muttar l’tzorech Shabbos. Those familiar with the halachos of amira l’aku”m know that shvus d’shvus is not muttar for a snack, or to rely on l’chatchila where avoidable, only when unavoidable and for an essential Shabbos food.
It is this PRM”G which the Biur Halacha which I quoted earlier refers to – clearly, this “tzorech Shabbos” is a form of tzorech gadol. See also M”B 325:62 for the definition of tzorech Shabbos.
There is no difference between one D’oraysa and another, no matter what you say. Sitting in a lit room is having Hanaah!
I believe there is, and you haven’t addressed the chiluk between food and other types of hanaah, which the M”B (325 – 16) makes regarding hanaah from a melacha which a nochri did for himself. Even if we are mattir there, the sevara is still valid, and would account for amira being assur for bishul even where it would be assur for light.
I quoted the IG”M earlier as being mattir a nochri removing the bulb from a refrigerator so that a Jew can later remove the essential Shabbos foods. It is interesting to note that in O”C 4:74-40, he explicitly assers telling a nochri to relight the fire which went out under the pot (clearly not a l’chatchila arrangement, and most likely no other fire available) unless it’s bein hashmashos.