Search engines can be used by anything, not just end users. And ChatGPT can be used by end users. So I don't see that much of a difference.

If I build and maintain chains of Google's APIs calls to develop an application that performs X, Y, and Z then I would say that I'm an "application developer", not a "Google API engineer". I mean I assume there is going to more to the application than just a pile of API calls.

So maybe a good name for this course would be "Building applications using Large Language Models", which is actually how the course is described in the intro.