The problem being that the creators sustain them selves by the same economic rights the pirates want to abolish.
That's another discussion, but here goes: Creators can earn money without copyright.
For example, a lot of music artists have discovered that they earn roughly the same amount of money by putting up their music on the Internet for free, and selling signed copies, merchandise, extra material, and so on. A lot of people are prepared to pay because they want to support the band, they have the cash and can't be bothered to find the material on a filesharing network, or they want to be sure they get the best quality as fast as possible. Plus, the added exposure draws more people to their concerts.
In fact, the only music artists I've seen complain about piracy, are the ones that are already established and have a steady, safe income ("rent") from albums they've already released. But that's a small, small minority of all artists.
People are also prepared to pay to see films at the theatre, and to see them shortly after the release date. A lot of people download the film to see if it's worth watching, then pay to see it at the theatre a second time.
Usually, there are only low-quality copies filmed with hand-held cams available the first few weeks -- but even when high-quality copies are leaked before the premiere, as with the first Spider-Man film, the film still does well if it's any good.
When it comes to writing, there are (and have always been) precious few authors that have been able to support themselves on writing alone. The vast majority need to have a day job, or supplement their income with writing-related jobs, such as journalism, teaching, holding lectures and workshops, and so on. And yet, people keep writing, even when they'd earn more money washing dishes. As an amateur writer, I know.
Also, I accidentally lied in the GP -- the Pirate Party doesn't want to abolish all the creator's economic rights. They only want to legalise private copying. The artist will still have an exclusive right to commercial use.