IF you want to add dither as defined in PS, you just need an 8-bit per color document and you need to produce a null color space conversion. That's where and how 'dither' as defined in Photoshop's preferences are applied. Doesn't kick in at all with high bit data.
Now should you do this? I'll remain silent expect to suggest, adding dither, noise, to a solid patch of color for output and measuring, doesn't seem to be anything any product has done in the past; perhaps for good reason?
"Dither" is something optionally added in Photoshop colorspace conversions. Unfortunately, the amount isn't selectable. It's designed to minimize jumps in colorspaces from conversions. Adding noise, which is adjustable, is another form of dithering. I found it particularly effective at creating profiles that perform well in neutral tones, especially B&W. It produces much smoother gradients from L=10 to L=95.
You are right that it could be done automatically by the printer drivers and it may well be done by some. If so additional noise (aka dithering) would be counterproductive. Basically, you have to test it to see if it improves things or not.
My approach:
1. Create profiles using different amounts of noise in the target images.
2. Print random, in gamut, patches using the different profiles and normal color management.
3. Read the colors with a spectro and select the profile that produces the least RMS error.
+/- 3 added noise to the 8 bit targets at 300 PPI produces about a 20% reduction in average dE2k but has little impact on the max dE2k which seems to be related to large deviations at the gamut edges.
It also produces a much better than that tracking of neutral tones for B&W prints. Most likely because my targets have added 25 additional gray patches.
I would be reluctant to recommend others do this. It could well be specific to my particular printer. Which is why I asked if others have investigated it. I can only speak for the results I've seen. I would not encourage this unless one can make their own profiles for their printers and have the time and interest to investigate it.
It is a subtle effect and none of the prints I have produced with either profile are visibly different outside smooth, artificial B&W gradients. It shows up mostly in spectro readings.
EtoA:
It might at first seem as if adding this noise to the target image would increase the overall variance in the patch readings but it actually is a nearly insignificant effect. Here's why:
If was assume random noise from -3 to +3 is added to each pixel we can estimate the color change in the .0033" spot printed from that pixel is a bit under 1% of the color range across the gamut axes. This is about 1 Lab unit in each direction or a total of a bit under 2 dE RMS. The aperture of the I1Pro is 4mm. Within that aperture is about 1700 printed pixels. The I1P reads the average color in that aperture so the noise introduced is expected to reduce the 1 pixel RMS variation by the square root of 1700. This comes out to about .05 dE of noise from the dither introduced in the measured color. Since the surface variations of a printed patch are higher and noise adds by variance, the effect on the patch readings is negligible.