I'm a photographer and have little interest in the hypotheticals of it (as I guess you are aware). I need practical advice. The only thing I care about is does my monitor look like my print. I profile my eizo with a gretag eye one and output to an epson and it looks the same, I send a file to the magazine with their profile attached and the magazine page looks like my monitor and my epson. Thats all I need a monitor for and thats all I need to know.
Your monitor will never look exactly like your print, ones emissive, the other reflective. But then your chrome and your print never did either. But you produced a simulation you accepted as a match.
You say you use the above equipment and they look the same. That's the bottom line. Has nothing to do with accuracy since that's a term that expects some kind of metric to say its within some accuracy spec. My ruler is more accurate than yours because we compared both against a reference grade measuring instrument of known specifications. That's an accuracy metric we can agree on.
Any decent display with the proper tools should produce what you ask for. Lesser quality displays might show more banding in smooth gradients at a fixed zoom ratio. Some displays may require calibration more often. Some displays may have better if I can use the term, viewing angles. Some have wider gamuts. None of this has anything to do with accuracy.
More users analogize over the so called accuracy of their displays then concentrate on proper viewing conditions of the print, or fail to properly setup a soft proof. I will say in this context, having a display that provides control over the calibration of a contrast ratio is probably going to produce a more "accurate" (closer visual match) then one that doesn't. Displays have far greater contrast ratio's than prints, having the ability to target this really helps to produce screen to print matching.
My practical advise based on working with a lot of display technology over the years, and working with those who design them is to look to an integrated solution (display with mated instrument and software designed from the ground up with these accessories). I've seen the best print to screen matching, with proper setup and use from such displays as Barco Reference V, Radius PressView, Sony Artisan and NEC SpectraView, all such integrated solutions. In terms of accuracy, this time measured using known, reference grade devices, such solutions again fall into this camp.