After some checking in the user manual and experimentation, I have discovered that the MP4 format used by the camera in the wing is faulty.

It's creating an MP4 file container, but using the 3gp4 codec, so almost nothing else can understand it.
Solution:
Go into the settings menu in the camera, and to the far right to Advanced Settings. Change the file format to Motion JPEG.
It will now record in MPEG Layer 2 as an AVI which works properly with everything.