It's so hard to tell whether these people are genuinely stupid, or just pretending to be because that's what they think will be rewarded (and the latter might be correct and a non-stupid thing to do!)
I wonder if anyone will include the "prompt engineer" in their CV/Resume. Otherwise, if one of the future employers decides to crosscheck a title that's anything different than what your current employer wants to call you, then it may lead to a credibility loss.