Just to point out what's wrong with each of those GIFs just in case people don't catch on:
#1: He jumps off of the second last piece of the platform, rather than the last. He also stops in midair right before his double jump. Plus, he was moving at the lowest speed tier. Even in the earliest preview footage, we saw people do that section while holding the run button (mid-speed tier), and they did fine. And they weren't even that good at the game themselves, yet they still did it fine.
#2: He zig-zagged left and right while approaching the openings on BOTH sides. He had plenty of time to move in either direction, yet he zig-zagged for no reason. It's not like either route is a trap either.
#3: He TURNS AROUND TOWARDS THE CRUMBLING FLOOR BEHIND HIM.
So yeah, those weren't the game's fault, and I doubt the rest of the game will have moments where it is. Like any Sonic game, there is bound to be one or two dickish obstacles. Heck, I've already seen it in the 3DS version, but in every case, the player simply took damage, they didn't die. So it wasn't even that bad, seeing as you can pick your rings up again anyway.
Speaking of the 3DS version, here's the first part of Cobi's playthrough of it. I watched the entire thing besides the cutscenes, and I actually really want the 3DS version now! I still probably won't get it for a while, but it will definitely keep me occupied during my three hour breaks in college (would be nice to play a brand new game during them too!). I will likely get the new Professor Layton before I get Lost World on 3DS, though.