In https://dercuano.github.io/notes/bokeh-pointcasting.html I estimated the visual acuity in my good eye experimentally at about 200 μradians, which I guess means I have about 20/15 vision. Too bad I can't focus any closer than a "foot" now that I'm old. I can still see the jaggies on 300-dpi laser prints, though.
But if you have 20/20 vision and can focus at 150 mm (as most of us can before we get old, or as we can with reading glasses, or just if we're a bit nearsighted, or if we're reading in bright sunlight so the bokeh is a bit smaller), then you can distinguish lines separated by a single white pixel at 600 dpi. So in theory you should be able to print out http://canonical.org/~kragen/bible-columns.png on a regular 600-dpi laser printer and then read it with a magnifying glass—the whole KJV Bible on three pages. Two sheets of paper, if you print double-sided. (So far, I haven't managed to get it to print that clearly, but I think that's probably a matter of printer drivers and pixel grid alignment to avoid resampling.)
Now, if you have 20/15 vision, at one foot you should have about 400 dpi of resolution. Or, at the 4 inches you suggest, 1200 dpi! (1145, actually.) You should be able to get the KJV Bible onto one side of one sheet of A4 paper!
Anyway, I think there's a big gap between the ambition described by "The World's Most Detailed Print Maps" and "we print our maps using the highest resolution mediums available" and even "no sense printing at a higher resolution than humans are able to perceive", and the standard you describe, "if you take an average person and look at the two images from a distance of a few feet, it will be all but impossible to tell the difference." I mean there are a lot of things that humans are able to perceive, but not from a distance of a few feet: the flavor of pizza, the scent of most kinds of roses, the difference between good wine and bad wine, the individual scales on a butterfly's wing, bad breath, the subtle impatience in an outwardly tender caress—and, perhaps, even the meaning of most printed text.
And there are many, many things that humans are able to perceive, but average people are not: the meaning of an English sentence (since 83% of people do not speak English), the difference between love and lust, the historical context of colonialism, the particular version of AutoCAD used to design a building, the form of engine malfunction represented by a particular rattling noise, the shoddiness of Dan Brown's writing, the self-serving dishonesty of those who promote the "Law of Attraction," the abusive nature of proprietary-software licenses, global warming, the difference between a Bristol accent and a London accent.
So I think you are redefining the stated goals of this work downward to a really remarkable extent. What an average person can easily see from a distance of a few feet is very far from the limits of human perception.