So this was interesting. I was just browsing around amazon.jp and found this. I knew that old music shows from the 80s like The Best 10 had released box sets for Akina Nakamori and Seiko Matsuda of their TV performances, so I got curious if any more modern shows had started doing the same.
Well, it looks like CDTV is starting from last year but apparently with very little fanfare since I haven't heard of it. In 2017 they released DVDs for TRF, Yuzu, and Every Little Thing.
Here is the link to the TRF DVD.
I'm not a big enough fan to know whether that is all their performances on CDTV or some of them, but still I've been hoping for something like this for other artists like Ayu, Namie etc. Hopefully, this will be something that they continue doing!