Looking forward to a real retina display soon :-)
A typical print project will expect images at 300 PPI. Text however, is provided in spline. This is typically rendered at 1200 PPI by the rasterizer.
In terms of printed quality display, it would likely mean several more generations of display technology before we see the equivalent density.
Printing is a whole different ball of wax. As the printing process involves layering inks to achieve colors, the ability to create different colors is a function of that printers ability to lay down ink, so typically the color gamut of the printer will be "lousy" at its highest resolution (as low as 8 colors) and at a smaller "effective" resolution will cross the point where it can print all the colors you would expect. This second number is often referred to as the 'screen resolution' not because of CRT screens but because of silk screen printing. So early HP printers would have a "resolution" of 300 DPI but a screen resolution that was closer to 120 dpi.
In the photography business people talked about 'lines' which was the smallest width line you could have in contrasting colors on the film that the film could reproduce. Hence those test patterns you saw of groups of lines in standard image targets.
CRTs used a shadow mask, a way of blocking the electron beam around the different colored phosphors. You were limited to 1/3 to 1/4 the shadow mask resolution as you needed at least three phosphor patches to reproduce colors.
So for me a real retina display would make a single white pixel on black background invisible at normal viewing distances to a normal eye.
[locate individual high contrast pixel] != [ability to distinguish individual pixels]
Vision and visual acuity is not this simple. See, e.g., http://www.michaelbach.de/ot/lum_hyperacuity/
I don't actually know, but perhaps seeing something as pixelated requires being able to resolve the edges of an individual pixel.
A better test would be to see if people can detect a difference in the pixel "phase" (for lack of a better word) of some pixel-drawn object (that is, show identically shaped objects that have a different internal pixel organizations because of their position on the screen). Do an ABX-style test, see if you can tell the difference.
I'll bet you can tell the difference on a classic display. I'll bet you can't on the iPhone 4+.
[edit: made the comment slightly nicer ... :/]
You just gave me flashbacks to the old chestnut of humans allegedly seeing a fixed "fps", and it conveniently topping out at the same nice round number that the nearest TV and/or theatre can produce. I bet that's still being propagated daily on forums.
(This is not intended in a particularly serious way – but I do notice pixellation in type from time to time on my Retina MacBook Pro.)
Photos are a whole other ballgame.
I think the real test would be to draw a curve of one pixel thickness and be able to see a smooth curve and not a pixelated one.