I'm suspecting that there's no hard rule for what colours are assigned to what frequencies, though "more red" in processed images probably corresponds to "longer wavelengths" in captured imaging data. There's no specific red-shift interpretation, though for viewing of distant objects (and galaxies particularly which have reasonably uniform emission spectra) "redder" -> "more distant, receding faster".
What you'd want to see specifically are the emission spectra showing absorption lines for well-known spectral bands. This shows specifically how red-shifted the light is, and is how red-shift was initially detected.
I doubt that there's an intentional mapping of red-shifted appearance + spectral sensitivity to near-and-unadjusted appearance. Though that might be possible.
In practice, I suspect the bands JWST is receiving don't map well to the RGB sensitivity of the human eye, but insteat JWST's sensitivity is tuned to scientific interests and value.
What you'd want to see specifically are the emission spectra showing absorption lines for well-known spectral bands. This shows specifically how red-shifted the light is, and is how red-shift was initially detected.
I doubt that there's an intentional mapping of red-shifted appearance + spectral sensitivity to near-and-unadjusted appearance. Though that might be possible.
In practice, I suspect the bands JWST is receiving don't map well to the RGB sensitivity of the human eye, but insteat JWST's sensitivity is tuned to scientific interests and value.