GrumpyDiver;421459]Hi Robert – this thought of yours is quite in line with your previous posts. You seem to be so wrapped up in minutiae that you are missing the big picture.
Rendering intents have a single purpose, which is to provide different models of taking an image (or for that matter graphic art) and bringing the colours / shades in it down to something your printer can reproduce. As we are primarily looking at photography here, let’s stick to this part of the field of graphic arts.
A higher end modern camera is capable of capturing around 12 stops of exposure. Your computer screen can only handle around 5 to 6 stops and your printer / paper / ink combination can reproduce down around 4 stops, so the rendering intents are used to compress the exposure range down to something that your printer can output.
The second part of this issue is related to the number of distinct colours your printer can reproduce. Many people sneer at the lowly sRGB gamut that can only reproduce 16 million distinct shades, but this outshines your high end photo printer by many orders of magnitude. The best estimates I’ve seen suggest even high end printers are likely reproducing somewhat a bit more than 500,000 distinct shades, so again, your rendering intent has to take the colour input and map it to something that your printer can reproduce.
I don’t get too concerned about blacks when printing; my Epson 3880 does have a nice black cartridge, so any loss of shadow detail is taken care of with nice heavy, large black dots put down at 360 dpi. Whites, on the other hand, I do worry about as this is produced by not using any ink at all, so there will be unattractive white spots at any value that has a white value of greater than (250, 250, 250), so I do manage things to ensure I do spray some ink even in areas where I have lost highlight detail in the working image (by setting my maximum white point in the 245 to 249 range.
I’m not sure why you are getting into this level of detail; it makes ZERO difference in the final printed product. The human eye / brain visual system lets us ignore these fine differences in detail you are so wrapped up in.