So I guess they can probably still prevent someone from profiting such as reselling, but can't criminally stop the copying itself.
Every prosecution I've heard of here involves someone making copies of movies or music and selling them (often at a flea market) or uploading a high-quality digital copy to the internet where
lots of other people can download it. IIRC, US courts actually held that making a backup copy of a movie or music for personal use was OK. (Look at all the people who put together their own custom playlists for their MP3 or other music player. Or take along a DVD full of favorite cartoons to keep their kids occupied in the car during a long road trip.)
Copying and piracy are an old story - when VCRs first came out, Hollywood was in a tizzy - their lobbying efforts came close to having Congress put a tax on blank video tape, with the proceeds to be distributed to movie houses; this was only stopped by the difficulty in apportioning the taxes and the advent of camcorders; people asked "Why should I have to pay Hollywood because I'm videotaping my kid's birthday party?"
Turn back the clock a bit earlier, and you'll find music producers had much the same objection to cassette tapes.