But it's consistent with your previous comment, in that it only defines HDTV, not "High Definition" as a generic term.
But given that HDTV is what caused "HD" to enter the vernacular, you'd have to be pretty dense to call something HD Video when it doesn't meet the HDTV standard. That would be like burning an .avi to a CD-R, and calling it a Digital Video Disc because it's a disc with digital video on it.
Interestingly, the PDF above suggests that you could have a 960x720 4:3 display that shows letterboxed 16:9 at 540p, and still call it an "HDTV".