Thanks for the explanation, T.
Is it correct to say, then, that "embedding" an .ICC profile in a film scan doesn't just tag the file with the name of the .ICC profile (e.g., "flextight.icc"), but also embeds the mathematical instructions for how another computer (or piece of software) can go about interpreting the colors? For example, if I create a film scan with a Flextight scanner connected to one workstation using "flextight.icc" (just as a hypothetical example), then open that image file in Photoshop on another workstation that doesn't have "flextight.icc" installed, will Photoshop still be able to correctly display the image because the image file already comes bundled with the mathematical instructions needed to interpret the colors?
Assuming the above is true, is it the "Working Space" profile I have saved as a preference in Photoshop (e.g., ProPhoto RGB) that determines how Photoshop interprets the color?
As a side note, I did a little digging and found that Lightroom uses ProPhoto RGB as the default working space in the develop module, and that this setting currently cannot be changed. The fact that it can't be changed seems to confirm my two assumptions above. I.e., if the ability to manually select a working space profile in Lightroom isn't even possible, it must mean that the embedded profile contains all the info needed to perform the color interpretation, and that therefore, copying the custom profile (e.g., "flextight.icc) onto several different machines isn't necessary.