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If the question is, "Can a DSLR employing either a sRGB, adobe RGB or Proprietary RAW format send a signal to a computer system monitor employing its own color space and LUTs and reproduce an identical output to what a particular human eye is "seeing"?", the answer would be, "no". At best, one can recreate an approximate representation of the, um, "reality" before them.
The human spectral response varies both, from individual to individual, and in varying light conditions (rods and cones, and all that). I am unaware of any sensor that can precisely mimic that behavior identically (both in color response and DR), as I am equally unaware of any software/monitor system that can display the entire human spectral response.
Setting a camera's WB to its neutral response point to where, say, 255R, 255G, 255B equals what it "says" is white, it will then record warm tungsten lighting warmly, cool fluorescent lighting cooly. The pink dress will be affected by those light sources and recorded (approximately) as the camera "sees" it...a warmer pink under tungsten, a cooler pink under fluorescents...and you will "see" an approximation of the camera's interetation on your screen.
14-bit DSLRs and 12-bit monitors with LUTs are but interpretive mediums, as are human eyes. You and I see different colored pink dresses.
I'm not sure if any of this is helpful, perhaps you could elaborate more?
Best to you,