In my mind, that's the key: universities don't teach how to do research.
Universities teach how to use a number of tools found in research through coursework at both the graduate and undergraduate level. But that's very different than teaching how to do research. Even working on a semester-long or year-long research project as an undergraduate is very different than what an independent researcher will see. More importantly, how you approach the problem is very different as well.
Research is writing grant proposals. Research is designing experiments. Research is using cutting-edge tools published by groups of other scientists who probably made mistakes in the single paper documenting the tool and the results.
Universities give you a problem that is solvable, with high probability that the tool you need to solve it can be found in the preceding chapter (or chapters). I have yet to see research do that.
While I agree knowing the ten most common mistakes would be very useful, they mean very little to someone who has not yet already done research. As such, I expect a single class teaching them would have little impact.
If, on the other hand, you are proposing to redesign the whole curriculum and teaching methods to eliminate those mistakes, I think that might have a chance of being successful. On the other hand, given the amount of work that would take, you'd have to have very ambitious deans, department heads, and teaching faculty to make it happen.