"Resolution independent" is referring to the operating system GUI. In other words you run your 1920x1200 15.4" monitor at it native resolution and adjust the actual interface of the OS to the size of your liking. In that kind of situation having huge pixel density will actually be great.
In a cool sci-fi future we eventually get to the point where we have 300ppi monitors, 7 pt types actually IS 7 pts high and can be read as clearly as if it were printed. At this point fabled paperless office comes into it's own. :P
Shhhh, I can't see!