We have frequently encountered projects, where the "project management" staff has little or no project management training. It is fair to say that some small projects can stumble along in this manner but any project beyond the trivial, could be in serious trouble very quickly.
There are projects where some very basic project management training and education will make the difference between success and failure.
Not all projects require a qualified project manager, but all projects require some basic project discipline to succeed.
It is simple, it is quick and it is affordable.