This totally depends.

For some people, Linux package management is not solved. Static binaries at least work for deployment.

More useful for client software, but you can’t just dismiss someone for having this preference given the poor viability of running arbitrary binaries on Linux due to GNU’s userland style.

No, it does not depend. Your parent is correct with his analogy.

Linux package management is solved, if it depends on something, it depends on the specific Linux distribution, but "Linux" package management is definitely solved.