Then you could capture a better image by swapping for a camera with a sensor with more pixels . Couldn't do that with film so the issue never arose as to whether anything else affected "reach". Some used to think that a smaller sensor yielded more reach but it's actually the pixels that matter...
Yes, you could.
In film, the equivalent of pixel density is "grain." Any film person can tell you the difference in image quality between an ASA 32 and an ASA 400 film. A fine-grained film (i.e., low-ASA film) was generally capable of much greater enlargement without loss of detail.
The parallel between gain and pixel density breaks down, however, when one realizes that the ISO of a digital camera is only roughly equivalent to the ASA (ISO) of film. With film, a higher ASA almost invariable meant a greater sensitivity to light and a coarser grain. With digital, a higher ISO means a greater sensitivity to light at the same pixel density, but with an accompanying increase in noise.
The issue become even more complex when you also realize that an increase in pixel density produces a finer resolution, but only if the same kind of pixels are used and the same per pixel digitizing process is used. These differences are why a 1Ds Mark II produces higher resolution pictures than a 30D, even though the 30D technically has a slightly higher pixel density (more pixels per millimeter). Each single 1Ds Mark II pixel is superior to each single 30D pixel (has a better gradient curve), and the pixel digitization is also superior.
But then, you should get something for the extra 1DS Mark II bucks!
) A new definition emerged because of the entry into the digital era even before digital cameras became affordable : 640 x480 is a low resolution monitor, while 1920x1200 is a high resolution monitor. I don't like the addition of a new meaning because it leads to ambiguity in these kinds of discussions 
