Hi,
 I have IOS projects with lots of videos and it's fine, I think your problem is the following:
 are you referencing the file directly? if you do, then it has to be loaded in memory. The key is to NOT point to it directly and simply use a string as the path and let Unity find it on its own.
You'll need to load these resources at runtime, ONLY when needed.
 Bye,
 Jean