There are articles published in the late 1930's / early 1940's that refered to the 525 scan line system (480i) as "high definition", because the early electronic television systems used in the 1930's were less than 400 scan lines.
Although, the only ATSC broadcast resolutions currently used are 720p x 1280 and 1080i x 1980, several other resolutions are used to aquire and record HD video. Sony HDCAM (non SD version) is 1080i x 1440 and Panasonic DVCPRO HD is 1080i x 1280. The broadcast injdustry considers these formats as "high definition" and not "HD-Lite".
On the reception end there are many different resolutions that are considered "high definition". LCD and plasma displays that have resolutions of 768 x 1280, 768 x 1024, 1024 x 1024, etc. are all considered to be "high definition and not "HD-Lite". The only ATSC requirement for a display to be called HD, is that it must support 720p scan lines.
I don't like the fact that both D* and E* down-convert channels from their origional format, because each conversion produces artifacts. I also don't like it when OTA stations that broadcast 1080i start adding sub-channels that eat up the bandwidth, because that creates more artifacts. Even though the quality is reduced in both cases the result is still technically "high definition".