In the R34 video the odds were stacked against the R34 from the beginning.
Tight, low speed course. Two pro drivers in the Toyotas, and a nobody in the R34. The Nissan driver missed at least one gear, maybe two.
Plus I think it was mentioned that the Nissan is stock, vs the obviously modified Toyotas.
I am pro Toyota all the way, but that was a poor example for comparision.