From time to time various people, including some professional photographers and high end printers, find that they prefer the results of using "Printer Manages Color" over Photoshop (or other application) manages color. It is, in fact, not uncommon that "Printer Manages Color" makes very different prints. My Canon 9500 II radically shifts colors. In many areas it increases green to cyan saturation levels up to 20 dE and significantly bumps up luminance. The results are pretty garish under bright light (500 lux) but not unappealing at moderate room lighting levels of, say 120 lux.
The problem of course is that there is no way to really tell exactly what the print is going to look like when working in Photoshop. Worse, if you find that you really like a print made that way you are out of luck if you try to print the same image on a different printer. Especially from another manufacturer.
But there is one way to put this under color management which makes it possible to print with the unique characteristics of one printer on different printers, including printers made in the future but it requires the ability to make custom profiles.
Here's how to do it with I1Profiler.
Make a new profile but, instead of disabling color management, just save the target tif image then assign it to the same color space used to make the print you like. This is usually either sRGB or Adobe RGB. Then select the same device driver settings that were used to make the "Printer Manages Color" print. Print the target and make a new profile.
Now, assign that profile to the original images you desire to convert into the colors made by "Printer Manages Color." Then convert the image to a larger color space using Relative Colorimetric Intent. ProPhoto RGB will always work fine but you should always be working in 16 bits.
You can now print the image using "Photoshop Manages Color" normally and selecting relative colorimetric. This will quite precisely duplicate the effect of using "Printer Manages Color" and the same print can be made with a future printer using relative colorimetric to retain the look of a prior printer's print.
This approach, while providing a way to make a colorimetric image file of the "Printer Manages" transform, cannot be used like a normal profile. One must follow the machinations of assigning the special profile then converting to a normal working space wide enough to hold the image gamut. The image in Photoshop would then be the same as what a soft proof would be.
Theoretically, a normal profile is possible where the Perceptual Intent ICC profile tables incorporates the transform and then folks could use that profile normally. Perceptual intent would produce the same print as a "Printer Manages Color" would. However, this can't be done with I1PRofiler. There may be a way with Argyll and clearly would be by modifying the source code. Graeme would know.