I have a degree in software engineering and I'm still critical if its inclusion as an engineering discipline, just given the level of rigour that's applied to typical software development.
When it comes to "prompt engineering", the argument is even less compelling. Its like saying typing in a search query is engineering.
googling pre-LLMs was a required skill. Prompting is not just for search if you build LLM pipelines. Cost commonly can be easily optimized 2x if you know what you are doing.
something being a skill does not mean it is an engineering discipline. engineering is the application of science or math to solve problems. writing prompts doesn't fit that definition.
I think a more fundamental aspect of engineering is that it involves well-defined processes with predictable results, and prompting doesn't check either box.