I found two additional skips, one at 17:00 (saving about 8 seconds), and another to skip directly to the boss of Cicada Night Fever (saving over 4 minutes).

A few mistakes, but still it's a sub-30 minute run! Special thanks to Mystwalker for finding many skips, and MetalVolt.

Mod Note: Video's not working, getting a "Video is still processing" error. Might want to check the link/video.