Media Player and .mov videos on Windows 7

We have some .mov files that we want to put into a scene. They work as expected in Windows 8, but do not render at all in Windows 7.

There is no information in the logs and I debugged through Engine\Plugins\Media\WmfMedia\Source\WmfMedia\Private\Player\WmfMediaPlayer.cpp and all the Windows Media Foundation appear to succeed.

Repro Steps
Launch UE4 4.8 on Windows 7
From Windows Explorer, locate a .mov video file
Drag it into UE4’s Content\Movies folder

Expected:
Media Player asset created that can play the video

Actual
Media Player asset created that doesn’t play.