I don't think this was the Japanese TV show. I can actually remember watching this when it went out in 1990, and a little further research on youtube makes me think it was a (UK) Channel 4 programme called Rocksteady.
See
Go your own way below, which I think is from the same show.
https://www.youtube.com/watch?v=2Nlg3hSv3o4
For one thing, I think the performances were live- the Japanese thing was mimed. I can remember the announcer saying that the performances were filmed as a rehearsal with a small invited audience. I think, from memory that Stevie sang
Landslide as well. There were some nice interviews with the band members- I can recall John saying that he blew a million on partying.
I do recall not being hugely impressed with the whole thing, and was faintly embarrassed by
In the back of my mind. I've never really shaken off my dislike for this line-up, and I'm kind of glad I passed up the chance to see them live. No-one was on their A-game, really.
As Long as you follow and
Behind the Mask (the title track) were the only decent songs to emerge from it.