I'll take your argument one step further. The real fact is that the product, once created, is totally worthless. It has no value. It is raw data. It can be duplicated perfectly ad infinitum at practically zero cost, therefore supply is infinite, therefore value is zero. The only thing that actually has value is the act of creating the product. The time put into the creation, the time the artist spent honing his or her talents, this is where the value truly lies.
We don't know how to deal with this concept, so we try to prop up old models of compensation with artificial legal constructs like "intellectual property". But we're just fooling ourselves, because as you said, some people just want stuff for free. I'm not saying this is a good thing or a bad thing, just that it is reality. So instead of trying to fight this segment of the population (which, barring police-state-level enforcement, will always be a losing battle), we ignore them and focus on the people who want to reward those who are actually creating the art.
Maybe products that can be infinitely, perfectly duplicated will have to be supported via some sort of commission system, the way operas and paintings used to be commissioned. You like what an artist does? Support him or her with a small monthly subscription to that person -- maybe a buck, maybe five. Think that person has gone off in a direction you don't like, or hasn't produced anything of value recently? Discontinue your subscription.
It is, admittedly, a totally pie-in-the-sky, borderline socialist idea, but I'd be happy to support something like that. It would be a sort of micropayment patronage system for artwork. I don't know if it would scale well, and there would certainly be areas ripe for abuse -- you'd need some way to make sure you didn't end up with the very rich dictating our culture by virtue of being able to contribute the most money to artists. But it's a thought.