By that same logic, nobody can be a software developer because in order to develop a software project involving 100 people, one needs HR, managers, QA/testing, SREs, sysadmins, architects, finance, ...
Nobody can be a brick layer either because in order to build the Burj Khalifa one needed architects, engineers, glaziers, plumbers, managers, secretaries, fork-lift drivers, truck drivers, etc.
Every team project has is multi-disciplinary. To claim one discipline doesn't exist because in order to complete the project all disciplines are necessary, is willingful misrepresentation of facts.
It’d be like arguing the term medical professional only means doctors.
That makes more sense and I agree with it. The way you wrote it (or the way I interpreted it) was like "we're all doctors because a hospital can't run without the rest of its staff". I still disagree that a level designer can be call themselves a game developer. That'd be like a nurse calling themselves a doctor.
This is common because of the term Software Developer but the developer part of game developer comes from the creation/construction side
since when? When did the software part of game developer stop being about actual code development and start being more like property or community? That makes literally no sense at all. Developer as it relates to any sort of code means the person actually writing the code. To say otherwise is just ignoring the meaning of words.
is a person or company engaged in a software development process, including research, design, programming, testing, and other facets of creating computer software
does not mean software testers are developers, it means that software development includes testing, and a person that does software development might be involved in all of the above.
Notice how the next sentence includes no such title that would be confused with a person that isn't writing code.
Other job titles for people with similar meanings include programmer, software analyst, or software engineer.
Someone or a company engaged in the software development process is a software developer. If the software development process includes these things then those taking part in the development process are called developers. The next line marks the confusion you see with the term developers.
This is just absolutely false, and I'm sorry, I just don't want to continue to argue this. Good luck.