This, IMHO, is one of the major benefits of CRT projectors - they do not have native resolutions. Only maximum resolutions. This allows one to actually see different resolutions. Digital displays, with fixed formats, are forced to scale every input image to its' native resolution. Often this is some strange non-ATSC resolution like 1388 x 768. This introduces scaling artifacts to the image. Thus, if you feed a CRT 480i, 480p, 720p or 1080i - you see that resolution (so long as you do not exceed the CRT's maximum resolution).
While the industry has decided to call virtually anything that can display 720p or above an "HDTV" - people with digital displays using non-ATSC native resolutions (i.e. the vast majority of them), have not actually seen any of the HDTV resolutions, but rather a scaled version of the resolution.
As digital, fixed format, displays move to 1920 x 1080p, they will finally be capable of displaying the "full" resolution of the HDTV signal (at least a de-interlaced version of 1080i and an up scaled version of 720p).
Ed