Wrong. Everyone has that claim. Whether you want to sue your employer if necessary is another matter.
Thank you for the correction, I didn’t remember it correctly anymore. The problem, however, as you say, is that the employer has a right to object if there are operational reasons against part-time work. And that can then be sued for. And when I hear from acquaintances how it went there, I would be cautious. Likewise, many employers recommend expectant mothers to apply for the full 3 years of parental leave, with the argument: "Shortening is easier than extending." However, if you want to start again after 1 1/2 years, the employer is not obliged to provide a position until the end of the requested parental leave. Again, there are exceptions here, but also the question of whether you really want to sue your employer. It is also uncertain whether you can or want to return for family reasons after the planned time. Therefore, the rate should also be bearable by one person alone, at least the main earner.