The problem is that museums have to cover not only television and radio, but all kinds of electronics technology, of which television is only a tiny part. There's computer, aerospase, medical and all kinds of other electronic fields.
With the exception of novelties such as the Philco Predicta, there has been very little popularity associated with antique television, its interest being restricted to a very tiny percentage of the population. I did go into a store in North Adams, MA a few years ago, and it was like stepping through a time warp, as the store was chock-a-block full of television sets, with none of them of a vintage later than the late '50s. All were mint and all were working. That store is gone now, and I haven't the foggiest idea where all those sets went. Needless to say they weren't exactly flying out the door back when the store was still open. No interest.
Ten years ago I threw out nearly 150 old TV sets--a few of them working ones--as nobody wanted them, and I had no ready means of making them known globally. Many of the sets were color roundies.
A good number of them were later model sets. All I have left of the antique line is a Zenith porthole job and a GE model 810. I do have a few later model color sets, an RCA and a Zenith from the late '60s, and numerous Sony Trinitrons of various age. Many of them may end up getting flung as well.
I think in the next decade that antique television will attain the popularity that antique radio has long enjoyed. We just need to hang in there until this happens, and hope that not too many perfectly good sets get junked in the meantime.
As far as today's young are concerned they are too used to multimedia being in their face at all times, with iPods, text messaging, cellphones, etc, with everything happening instantly. Their ADHD world has no time to wait for a series string of filaments to warm up, and has no memory of the day where one only got 2 or 3 channels, and sometimes one stared at a blank, gray screen for a few moments between programs and commercials.