Restricting File Access - is it possible?

I'm trying to restrict access on Files so they don't show up when using Get/Discover, as I described in the topic post. I've tried to use Permissions or Teams to do this, however the items still show up when doing a Get action, for instance. Most other ItemTypes honour these two methods of access control but apparantly not the File ItemType. :( So yes, like you would want to stop a File from showing up in a Document through the Document File relationship. It's unfortunate because that means a File can't contain anything important or sensitive. Unless this was fixed post SP6.. Thanks again for your time!