I have bad experience playing back Wii movies, so don't jump to conclusions.
On my first try I put 200% speed at once and managed to progress to the frame ~107000, when some weird menu movements started happening.

On my further tries, I left the speed at 100%, but it all ends up working around the frame ~58000 (when the exit door opens).

Sometimes "Wii Remote 1 connected" message appears at some point. Sometimes it doesn't. Sometimes "Wii Remote 1 disconnected by emulated software" appears when I'm already deep into the desync territory.
Here are the
hashes I have. Dolphin says checksum doesn't match, but I see it for every GC/Wii movie I try to verify, so I don't trust this message.
Someone else should give it a try. Or maybe there is a setting which enforces Wiimote connection no matter what. My background input is off.