I've written more than one compiler, so I definitely understand how compilers work.

It seems you're trying to call anything that transforms one thing into another a compiler. We all know what a compiler is and what it does (except maybe you? It's not clear to me) so I genuinely don't understand why you're trying to overload this terminology further so that you can call LLMs compilers. They are obviously and fundamentally different things even if an LLM can do its best to pretend to be one. Is a natural language translation program a compiler?