I definitely am not seeing an attempt to be Bear here. If it was Bear, he would have done a swan dive off the top of the first waterfall, and then slid down the waterfall that they rappelled, with no gear, and stripped naked beforehand to make sure his clothes didn't get wet.
In the mountains, rappelling can be the safest way to get down, and it gave them a chance to demonstrate various safety issues that show up in canyoning, such as making sure you face outward when you rappel a waterfall, and pointing out how dangerous it can be if you run out of rope and have to drop into a pool of unknown depth.
The ropework was done while pointing out that it was risky, and done in the least risky way possible. Yeah, there might have been a less dangerous way to get down the mountain, but they used it to demonstrate a knowledge with ropes, and even had Cody talking about how he wanted to slow down and be careful at every step. If it was Bear, he would have been running down the canyon screaming WHOOOOOOO the whole way. Totally different atmosphere and presentation.