The problem with technology is that a lot of people think they understand something when they are actually perpetuating misinformation because their source doesn’t really understand either.
To complicate things further, if the term is older than a couple of years, it probably already means something else because the term was created to explain technology to someone who doesn’t create it.
Full stack means it’s just your code (no particular tech stack), a database and the browser that generate a website. You can’t think anymore in terms of front/back end, which is why the model is now referred to as client/server.
The client is the browser, or the thing rendering your web files. The server stores your web files. The client can handle everything but storing of your data.
So, if you really want to gauge a web developer’s full-stack skills, you should ask them how they create websites, manipulate data, and store data.