Absolutely. True mental health issues need clinical diagnosis and treatment. Things like CBT and antipsychotics have saved the lives of many people with psychological disorders, and modern mental health treatment is as valid as any other area of medical science.
But the type of "therapy culture" the parent describes is absolutely obnoxious, self serving, and all pervading among the upper and middle class. People have been so convinced, jeered on by social media, of this pseudo-Freudian nonsense about deep seated emotional traumas requiring therapy, that the real issue of mental health has been conflated with feeling annoyed about having to respond to work emails or being bummed about a breakup.