To answer your question about why no one wants an antique tv, I think it may be that a TV is one of those items that most everyone can see that a $99 WalMart special has a better picture than the antique. That doesn't seem to be the case with vintage audio gear.
I think you've touched on the other reason people don't seem to want them, source material. If you had vintage TV shows on tape or DVD, it probably would be more fun to watch on a vintage TV. But who wants to watch "America's next supermodel survivor great race american idol on ANY TV"?
I personally have had a hard time tossing an old tv unless it was a BPOC and didn't work!
I bought a Quasar 16" Color unit when I was in college and still have it tucked away because it still works. I also have a Sony KV-1215 Color portable that Ii have had for over 30 years and can't bring myself to get rid of it!