If that were true, a developer may own copyright over the source code, but nothing on the compiled binaries, and I could download practically all software available as compiled binaries and use for free.

So I’m responsible for pushing the giant boulder at the top of the hill.

The humans at the bottom who were crushed should blame the boulder, which happened to be moving.

That’s now how it works. The human using the tool (like claude code, etc) owns the copyright of the code generated.