I accept your concession that I am 100% correct and that as such there is nothing more to argue about.
It's been fun.
I would somewhat disagree with your statements. Yes, there are some industry standards set for HD, generally accepted to be 720i/p and 1080i/p, but for something to be "high definition", it doesn't need to be sourced from a modern digital video camera.
An example: Star Trek:The Next Generation was shot using 35mm film, and from this film broadcast tapes were created with a 4:3 version of the show. These tapes are significantly better in quality than NTSC or PAL standards, and if you see the show on a current HD station, and you compare it to a SD station, the quality is a lot better, even though it comes from the exact same broadcast tapes.
Of course, at this moment they are re-digitizing the original 35mm to BluRay 1080p format, and the first season is to be released some time later this month I believe.... so by next year we will probably have all 7 seasons in BluRay format, and perhaps someone that wants to pick it up for syndication can no use the HD versions.
Similar things have been done with e.g. Seinfeld and Friends, which air in HD on several stations (TBS being one).
Maybe, in your view, the station of TCM doesn't have the RIGHT to carry the "HD" in the name, but the quality that is shown on screen is a lot better than what is shown on the SD version of the same station, so I would want to call it "high definition" for that reason alone. It may all be upconverted to 1080i, but it looks pretty darn good.
BTW: Your comment above might be viewed as smug and arrogant. Not really nice for a first time poster, people will usually remember the attitude you came in the room with. Just be friendly, it works a lot better.