For a business projector like this Powerlite Pro G6900WU, I drop in my Silicon Optix test disc, and see what it has to say about image noise of various types.
I'll keep this simple. The Epson passed everything, with no particular issues noted. I also did double the projector to see how it worked as home entertainment. I found image noise in close ups of faces to be minimal, and skys show a good bit less mosquito noise than some DLP home theater projectors! Not bad. Panning was pretty good, even on 24fps, when I watched a few movies. The slow (troublesome) panning scene I always use from the first Red movie, was actually a little smoother, less jerky, than one of Sony's $3000+ home theater projectors.
In other words, unless perfection is the order of the day if you are doing something very creative, there should be no real issues. We did not inspect to find tiny issues, that are barely visible when looking for them.
There is the possibility therefore, for a specific application, perhaps a museum display, where there might be some image noise that is a challenge, but, at our level of inspection score the Epson as solidly good when it comes to most image noise. We only tested the Epson with default settings, so there are even a couple of image noise controls that we did not play with, that likely would help hide anything we missed, if it was crucial.