Haha, what's with the random Idolmaster in your videos.
Anyway, for the any%, I think it is faster to use the boomerang glitch on the second set of platforms (as shown in
http://tasvideos.org/userfiles/info/20389114088716596). The platform is a bit more annoying to deal with though. It is easy to end up standing on top of it, and then there is no way to fall off of it (without being bumped off by a ceiling or going off the top of the map, which loses the platform). So the only way to travel a long distance involves doing wall kicks on the side of the platform. Also, the platform disappears near the capsule location unless you are high enough.
I know the E-tank tends to disappear (if you boomerang grab the first platform) but I haven't tested it enough. In fact, I didn't know it was possible to keep the platform and not have the E-tank disappear before you showed that it was possible.
Edit:
I figured out the E-tank disappearing thing.
If you keep the platform that you boomerang grabbed by going high enough, then the first set of platforms will remain in active memory. If you then activate the second set of platforms, memory will be overloaded and you can't load the E-tank.
To avoid this, you must be higher (have lesser Y-position value) than Y-position 252, at X-position 1600.
Edit 2: Scratch that. Apparently the last sentence isn't true.