It looks to me like they took the video from a Japanese car show where they hired strippers for visual publicity, and then dubbed in the audio for the original version of the Deep Purple song, completely unrelated to what the video was originally shot for. Unusual, but I'm not complaining, it seems to work.
I was frankly disappointed both visual and sound-wise with the live versions of the song from Deep Purple I viewed. This actually is far preferable with the original sound, and is much nicer to look at.
