Is it possible to loop a video as background for a 2D game?

I have a swf file from flash that has some flash animations and an animation imported from after effects. Would it be possible to import this into unity and use it as a looping background for one version of my 2D game? Would this impact the way the game runs or deplete the users battery anymore than using sprites. For some reason when I try to export my flash animation into a sprite sheet it does not show the animations shifting in each image. The images look the same. I will head to a flash forum to figure that out if this does not work.

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