The problem is that, like Evolution, Freudian Psychoanalysis is treated like a empirical science and that it tries to heal people with psychological problems despite of its shortcomings.
Fairy tales often include unbalanced personalities such as cannibal step-mothers or fathers with incest inclinations. By becoming one of the lynchpin interpretators of fairy tales, Psychoanalysis also claim a right to treat actual people.
If it is not empirical, it is dogmatic or inspirational. That's why one finds it hard to counteract psychoanalytic claims.