Wide gamut is a misnomer for prints. As previously pointed out, a decent monitor has a much wider dynamic range than a reflection print. Likewise, the color gamut of prints is restricted. Bruce Fraser admonished that you should temporarily look away from the monitor when displaying a soft proof lest you be shocked by the reduced gamut of the soft proof.
Well, I can certainly affirm that I sometimes struggle to get an image, as viewed on the monitor after ticking the 'proof colors' box, to match the vibrancy of the image without proof colors enabled. It's always possible after much adjustment of contrast, saturation and brightness to get reasonably close. However, after making such fairly radical adjustments to get the proof image looking close to the way it previously looked before enabling proof colors, one always finds that the adjusted image then looks even more vibrant, and sometimes preferrable, when one unticks the 'proof colors' box and toggles between the two modes.
So I would agree that the transmissive nature of the monitor gives it an advantage which the reflective nature of the print cannot match, but the point Jack appears to be making is slightly different. He claims that, if two images of the same subject taken with different cameras, viewed side by side on the monitor, at print size, look identical, it does not necessarily follow that they will look identical when both are printed on the same printer using the same paper, ink and profile.
Even my old Epson 7600 claims to be able to print a few shades and hues which are contained within the ProPhoto RGB gamut and which cannot be displayed on the average monitor, or perhaps even any monitor. Epson have now apparently increased that gamut capability with there latest printers such as the 7900.
In other words, if the two images have an embedded ProPhoto RGB profile and are adjusted on the monitor in the ProPhoto RGB working space so that they both look as identical as possible, they may not actually be identical because there are subtle hues which the monitor cannot display but which a good printer, such as the Epson 7900,
can reproduce.
I've never actually witnessed such an effect myself. It would be very troublesome and time-consuming to try and isolate such an effect. The mere fact that a particular print does not appear to quite match the appearance of the image on the monitor does not demonstrate the point Jack is making. One needs to compare print with print of apparently identical images taken with different cameras.
Two candidates for such a comparison would be the Canon 5D and the Nikon D700, both of which I own. They both have a very similar pixel pitch and pixel count so it should not be difficult, after ajustment of temperature, tint and levels etc, to get two images of the same subject looking very similar on the monitor.
However, if I were to go to the trouble of making such a comparison and were to discover that there was no significant difference between the two printed images, over and above any small differences apparent on the monitor, it would not disprove Jack's point. It's really up to Jack to demonstrate his point, but I don't see how he can if the reasons for such differences are due to the print containing hues that are not visible on the monitor.