They are programmers when they write a prompt and get runnable code as a result, yes… but no if asking a human to write the code because if you have an intermediate, manual step between the text and the running code, you don’t have an automated process and hence it’s no longer even an application, let alone a “compiler”.
Why does it matter if a human or a machine is responsible for turning the prompt into code?
If there's a black box which I can send C code into one side of and get faithful machine code out the other, I'd call that box a "compiler". I wouldn't rename it if I later find out that there are little elves inside doing the translation.
