i don't think takeda can beat the final stage. Why? in the tarzan ropes of 1st stages he cleared, he seemed slower than Nagano. I know he is a firefighter but Yamada Koji's speed up the rope was far more impressive than all the clips i have seen of Takeda. Arsennette is right, Akiyama's sasuke 4 speed is the quickest i have ever seen, probably faster than Nagano but that was 10 years ago, Akiyama is still fast but not as fast as he used to be.
IMHO, for the final stage, #1- Akiyama ( in sasuke 4 ) #2- Koji ( that guy has blinding speed up the rope ) #3- Nagano ( a close 3rd place )
Takeda will probably timed out 1 or 2 metres from the top. better than Kanno & Yuuji but still i don't see him doing it.