The title is a misnomer
"Schizo" is a pejorative for a serious psychiatric illness known as schizophrenia. If you are not sure what the pathology of schizophrenia is, I suggest you Google it. Suffice it to say, neither Sam nor Haskin appear to be suffering from schizophrenia.
Schizophrenics suffer from delusions, auditory hallucinations, confusion, and delusional thoughts. They are very rarely violent.
Indeed, as recently as the 1970s, "schizophrenia" was was widely misunderstood as "split personality" or "multiple personality disorder," which is now known clinically as "disociative identity disorder." The term "schizophrenia" was believed to mean "split mind," whereas it more closely means "shattered mind," which reflects the suffers confusion and inability to manage his or her thoughts."
In "Schizo," it turns out Sam suffers from what we now call "disociative identity disorder" because one personality commits murders and the other personality does not remember them. Once again, Sam does not display clinical signs of D.I.D. Furthermore, such an extremely violent pathology is extremely rare in cases of D.I.D.
Along with not being a very good movie, "Schizo" gives those who don't know better a frightening portrayal of people who suffer from mental illness as violent, murderous, and unaware of their own pathologies. In fact, the population of mentally ill, as a whole, is less violent and less dangerous to others than the general population. Thank you.