this is not engineering

Sure, in the same way that software engineering isn't engineering, if you want to be pedantic about the term "engineering".

No, software engineering is. Writing prompts to a chat bot is just being a user of that software

My personal definition of "prompt engineering" is more about building new software on top of LLMs - the kind of stuff in https://github.com/openai/openai-cookbook

I see using ChatGPT directly as prompting, not prompt engineering.