Move the cheese and all that. It is well known that most people don't like change. Many prefer a known painful situation to a potentially great unknown. Often the effort involved in getting someone to change is much greater than the effort the change requires.
Knowing this, know that not all change is for the better or needed.
Often we insist that methods be adhered to because they make us feel safe. If other honorable methods produce the desired results it might be best to allow the variant.
Showing your work isn't the same as getting the correct answer.