As you gentlemen are aware, there are two types of blue color which one gets by heating iron or steel.
The first is "temper blue", the color of a polished piece of steel heated to about 550 - 600°F. This really is a clear, colorless film. It makes an "interference film", about the thickness of blue light's wavelength. The colors you see are like those on a puddle of water with a little oil on it.
Huh? Anyway temper colors, straw through blue, are very thin and do not survive much as a metal finish.
Both nitre blue and charcoal blue are actual thick (relatively) layers of Fe3O4. This is the chemistry of scale one finds on steel that has been heated red hot in the forge or torch. Just like metal, oxides have a grain or structure to them. The scale from a forge is dull in color and flakes off easily. But, if you can form that scale in a very, very low oxygen atmosphere it will be thin, fine-grained and adherent. That is a gun barrel blue.
Colt percussion firearms were charcoal blued in a open furnace by skilled workmen. Probably a lot of carbon monoxide, no oxygen to speak of. I recall they rubbed fish oil on the metal during the process. An engraving of the Bluing Operation is shown on page 356 of A History of The Colt Revolver, by Charles Haven and Frank Belden. It was originally published in the United States Magazine, March, 1857.
I rather doubt that the metal was all that hot, probably under 900°F or so. Perhaps that information is available somewhere?
Charcoal bluing is a process wherein one gets a very thin scale. In the early 20th Century Colt blued in a rotating barrel full of charcoal. That was a mechanized version of how Sam did it a century earlier. Doing this successfully by hand requires a lot of skill. It does not, in this metallugist's most humble opinion, involve heating the metal until it glows.
An industrial process to get the same type of scale is "steam bluing". Back in the 1960's Black & Decker used steam bluing to get a blue-black color on the shoes of small portable jigsaws. I thought it was at 950°F. It was not pretty, but then no one polished the steel first. It did give some degree of rust prevention. Hardware screws used to be available with this steam-blued finish on them. ThyssenKrupp says the process is done at 840°F (450°C). Their steam has very low oxygen content, about 0.01% oxygen.
By the way, this is the ideal time of year to Google "charcoal bluing". Your rhubarb, and her roses, will love most of what you find.