I don't know enough chemistry to argue with you further.
If the liquid slag was not molten iron, then what else could it be?
Having already said this more times than I can count, once more probably won't hurt.
There are two possibilities. One is that the liquid slag is a mixture of iron oxide and iron sulphide. This should of course be the first possibility to consider, because that is exactly what Barnett, Biederman and Sisson say it was. Since they are your source for the statement that there was a liquid slag present, why do you persist in cherry-picking by pretending not to see the part where they identify the composition of the slag?
The second possibility, and I'm not entirely certain it's a distinctly different phenomenon, is that the liquid slag was a mixture of iron, iron sulphide, and iron oxide. A quick look at Google produced the following quote, properly sourced below:
The presence of sulfur in steel causes the danger of so-called "red brittleness" and "hot brittleness". Red brittleness may occur during hot forging or hot rolling of steels having a high sulfur content (sometimes a sulfur content of 0.03% is considered high enough). Thus, it may occur in the temperature range of 900-1000ºC. The reason is that the Fe-FeS eutectic melts at 985ºC. Its melting point is decreased in the presence of iron oxide. Iron sulfide and nickel sulfide solidify last from the liquid, as a network along grain boundaries.
"Physical Metallurgy for Engineers", Miklos Tisza, ASM International 2001, ISBN 087170725X, 9780871707253, p294. My bolding.
Therefore it appears that a suitable mixture of iron, iron sulphide and iron oxide can have a melting point below 985ºC.
Now, going back to your original argument: your claim was that the presence of a liquid slag indicated temperatures in excess of 1000ºC in the fires in the rubble pile. I've given you two possible accounts of what the liquid slag could be, neither of which requires temperatures in excess of 1000ºC to form. In particular, the source for the existence of the liquid slag that formed your original claim (Professor R. D. Sisson Jr.) is co-author of the paper that describes the composition of the liquid slag as being a mixture of iron sulphide and iron oxide that formed at a temperature that "approached ~1000ºC"; in other words, below 1000ºC.
If you don't know enough chemistry to follow this line of argument, could you consider the possibility that your understanding of events is not as complete as those who do?
Dave