If you have a painting and are asking $1000, and I take it, you lost the $1000 you probably would have made eventually. If I take a look at it, I didn't steal $1000 from you. If I photograph it, I still didn't steal $1000 from you. If I print it out at home and put it on the wall, I still didn't steal $1000 from you.
> If I photograph it, I still didn't steal $1000 from you.
This is where the inductive logic breaks down, because you are unlikely to make a perfect substitute (in other words, copy) of the product by simply looking at it, but by photographing it, now you can, which means you have denied compensation to the author of the work by being able to produce a perfect substitute.
> If I'm not willing to pay a creator for their content, it must not have any value to me.
If it doesn't have any value to you, why are you making a copy of it in the first place? :)
Now, you could always make the argument that creation of value only happens when a physical artifact is built, but that would also be a general argument against white collar jobs and make it okay for corporations to not pay a knowledge worker such as a software developer or a technical writer, simply because they provided a copy of their work.