My favorite -- but is this video for real?
This was one of the classics (and my own favorite too) among the early rock'n'roll instrumentals. But here we see them doing it on TV, and yet the music in this video is (I believe) not the TV show, but the original record. I've played it a hundred times before, and this sounds exactly like it.
The Chantays: "Pipeline"
https://www.youtube.com/watch?v=-NwQv9EZ7Uw
I looked at all the comments posted on YouTube about it (which I usually don't bother doing) and I see some viewers noted that they didn't seem to have any wires connected to their guitars, which suggests that even on the TV show itself they were just using the record for sound, instead of really playing it. Knowing television, I can easily believe they would do that, though I can't imagine an audience being fooled by it.
Then I remembered that I once saw a photograph of the Beatles doing a TV performance with no wires. I'm sure THAT didn't fool anyone!
It always seems that when artists are doing a live performance nobody cares about the sound; the producers and directors think of it as a "visual" show, for the eyes rather than for the ears. Maybe that's why in my teen years (the 1960's) I never enjoyed live shows and rarely attended them, or watched singers on TV either. Instead I just bought records and listened to the radio. To me it was for the ears, not the eyes.