That is not correct.

https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7246522/

Writing in 1964, Mead found that across a range of cultures, extraordinary abuse of animals (e.g., torture, killing) by children may precede more violent acts by that individual as an adult [48]. She argued that an act of cruelty towards an animal by a child could “prove a diagnostic sign, and that such children, diagnosed early, could be helped instead of being allowed to embark on a long career of episodic violence and murder (p. 22). Her writings influenced the American Psychiatric Association (APA) to add animal cruelty to the Diagnostic and Statistical Manual of Mental Disorders–III R (DSM-III R) in 1987. In the 2013 Diagnostic and Statistical Manual of Mental Disorders (DSM 5) animal cruelty was retained as a symptom of conduct disorder [49,50].

Additional studies in the 60′s also documented the Link between violence towards animals in childhood and aggressive behavior towards humans in adulthood [51,52].