Because their different kinds of data.
In games its all assets like models, texture maps and music. These can all be used multiple times for basically the same amount of data.
Whereas video is basically 1000s of snapshots, having to designate every pixels colour and brightness every frame (not to mention sound.) The size of which is dictated by how long you record.
Its the same way that a video of a photo would be larger in filesize than the photo.
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