> The notion that one has rights to their own ideas is a marvelous development of liberal productive societies
If by "liberal productive society" you mean "capitalism", then yes, copyright is indeed a capitalistic invention. Only in capitalism could the notion of "owning" something which by its very definition is impossible to own remotely make any sense at all.
> It has allowed value to accrue to things that were actually valuable while also being intangible.
Ideas had value even before someone decided that you have to be able to assign them a monetary price. They were invaluable, by virtue of being free. The compulsive need of capitalism to monetize everything has actually destroyed the true value of ideas. We "pirates" fight to restore that value.
> The mere existence of art and innovation is not enough to make up for the destruction of rights to one's own work or ideas.
Except we aren't destroying anything. We're restoring it to the way it's supposed to be. As I mentioned in the previous paragraph, the truly destructive thing is copyright.
> Putting the progress of art and innovation solely in the hands of hobbyists is like saying the start-up world will work fine if no one gets funding anymore because people can always code stuff themselves at home on the weekend.
First, abolishing copyright (and by extension, intellectual property - which is not to be confused) does not mean you put progress into the hands of "hobbyists". We're just taking it out of the hands of monopolists, for the good of everyone.
Second, you're committing a very common fallacy made by pro-copyright people: you assert that copyright is essential to do business. It isn't.
Third, you imply that we have to care that business models will fail. They do all the time. Now, I ask why a business model that relies entirely on artificially constructed, nonsensical laws has any right to exist in the first place?
> But to dismiss rights out-of-hand is throwing the baby out with the bathwater and choosing a very weird solution [turning back the clock] to a very modern problem.
And another fallacy. You assert that since copyright was invented at some point, it was progress, and that abolishing it again will therefore be a step back. It's the opposite actually. The invention (and implementation) of copyright was a step back in the first place, so abolishing it will bring us back to where we are supposed to be.