The reasons DPR used it have been amply discussed above. You want to use it for a completely different reason.
Several reasons actually ;-)
If I understand you correctly you want to know a number for 'how many pixels on the duck'. That was at least the way someone tried to show it years ago: if you photograph a sitting duck. When shooting such a subject, a crop camera not only has the advantage of the smaller sensor [same focal length gives a smaller angle of view] but mostly [at least in the same generation] smaller pixels than the FF. This gives a more opportunity to crop if you use the result for screen display or small prints only.
Pixel density gets you information on 'cropability' only partially, as it can't take the final step into account.
I'm not quite sure of the point you're trying to make, but it's a question of whether a piece of information is useful or interesting, and the less obvious implications do need an understanding of other factors affecting image quality
As has been discussed before, the pixel density is not 'primary' information. There are two basic bits of information, the sensor size (x and y) and the pixel count (x and y), from these can be derived other things such as the pixel pitch and pixel density. The question is, if more than the two basic figures are to be given, which and why. There has been a case made for pixel pitch. Only one case has been made for pixel density, that is that it helps make 'reach' calculations. This is a bit bogus, because pixe frequency (reciprocal of pixel pitch) would be directly applicable to that need, so even that case is weak. So now it would seem if we are to have figures apart from the basic size and pixel count, that two (pitch and frequency) would be more usefult than 'density'. What the proponents of 'density' are having a hard time doing is actually coming up with some concrete reason why it's useful - w3e are given vague reasons or just 'I like it'.
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