Might not be a popular take but having an undefendable position like creationism does not necessarily mean "poorly educated." There are apologists who have learned proper reasoning skills and use their education to bend reality as much towards their will. I think most people would consider Jesuits and the like to be very educated but also very wrong.
As far as signs that someone is poorly educated, there are people who make up "big words" to give the impression of having a better education to other poorly educated people. Which backfires when someone with an actual large vocabulary walks into the room.