You don't have to be an expert on neuromonitoring to the point of you being able to do their job for them, but knowing what they are monitoring and how it relates to your anesthetics is very important for you to know. If neuromonitoring is a total blackbox to you, you will be one of those anesthesiologists that just does whatever the neuromonitoring person tells you to do because you don't know (or don't care to know) what they are trying to achieve. It doesn't sound like that is the case with you, but for others it may be.
Is it? If you blindly run a TIVA (or even worse, an "ivory tower" TIVA consisting of propofol, fentanyl, precedex, lidocaine, magnesium, ketamine, ????) out in practice every time you see a neuromonitoring person because you don't know what they are monitoring, you will be setting yourself up for failure. A simple example -- a one level spine case that will take <60 min skin to skin, and they are monitoring nothing but EMG. Your plan? Now imagine the same surgery, but they are monitoring nothing but SSEPs. How does that change what you will do? Or will you do a GA with no volatile and no paralytic for both cases?