You will also call my job title at work vague, Electronics Engineer. My degree is Electronics Technology but the bulk of my training for the automation has come from this forum and The PLC Bootcamp. I get the same questions, "what does an electronics engineer do, are you an electrician"? I just quickly evaluate who is doing the asking and give them a title I believe they will understand. Funny you should bring this up as I have asked myself the same question many times. I have also been called (although not worthy of it) a systems integrator, automation engineer, process engineer, etc... .
That's why I like to spend most of my time at home where I am simply known as "Daddy".