I’ve always been a little dubious about the claims that there is some sort of inherent psycological effect that prevents an emissive display being a reasonable facsimile of a reflective print, simply because I’ve personally seen contradicting examples, particularly using LCD displays.
That doesn’t mean that such an effect doesn’t exist, but if it does, the strength and circumstances in which it is evident don’t seem to make it an insurmountable barrier.
The most obvious barrier to side by side comparison of reflective and emissive comparison is white point - traditional illumination is/was incandescent lights at about 2700K, while the display standard (set by TV history) is 6500K. Graphic arts standards is 5000K, although this has historically been difficult to achieve, since high spectral quality 5000K light sources have been hard to get. Examining two images side by side in a mixed white point environment is basically impossible.
So first aspect is setup of your print lighting to be something reasonably close to 5000K, then make the display visually match it. Using an instrument is a good way to get close, but then tweaking the display aim point by eye for the best possible match is perfectly acceptable, since this can compensate for field of view effects and observer CMF variation.
The second aspect which should really be addressed first, is the lighting situation, including brightness. There is conflict - you want bright, uniform light falling on the print, but you don’t want it reflecting from the display, nor causing the viewer glare. So the physical arrangement of the print evaluation position, the display, the surround color and the illuminant is important.
[ Recommendations are for the surround (i.e. walls etc.) to be a 50% visual neutral gray. i.e. around 20% flat reflectivity. ]
The third related point is matching brightness. You want the white of the print to be the same brightness as the white on the display. Again, an instrument can help here.
Get all that right, and you are 90% of the way towards being able to compare prints and soft proofs and expect good matches.
Black point matching is probably the next step.
A camera is generally a poor substitute for an instrument, because they don’t have spectral sensitivities that are like a human observer.
CIECAM02/viewing condition adjustment can be used to change output if it is used to change the perceptual table of an ICC profile.