This video plays when you select the Twinsanity demo in the menu of the Crash Twinsanity & Spyro: A Hero's Tail NTSC-U E3 2004 demo disc.
The video mostly contains high quality footage from the early gameplay video.
Confusingly, it uses music from Crash Bandicoot 2: N.Tranced, and sound effects from Crash Bandicoot: The Wrath of Cortex and other sources.
However, one part in particular is unique to this video:
This is a part the old version of Slip Slide Icecapades, glossy and uniquely structured like all the other parts shown in trailers.