Structural Engineer here. Small firm, we have an engineer in their 50's, 40's, 30's, 20's. The older bunch uses a modeller/draughter and I can see how long they take and the communication errors happening between them. Myself and the young gun do the AutoCAD or the Revit ourselves and we crank projects out in half the time. And on top of that, we control the project and the modeller can't hold the production hostage. And on top of that, we can make promises on product delivery a lot more confidently.
In short, communication and control is the issue when it comes to the drafter/engineer relationship. Both better be good in order to be efficient! Otherwise, get to learning the CAD machine!