The validity and reliability of projective techniques such as Rorschach are quite debatable.
Yet, here are a couple of studies that might partly answer your questions, or at least provide you with relevant insights:
Rorschach inkblot test and psychopathology among patients suffering from schizophrenia: A correlational study - https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8395539/
Distinctive Rorschach profiles of young adults with schizophrenia and autism spectrum disorder - https://www.dovepress.com/distinctive-rorschach-profiles-of-young-adults-with-schizophrenia-and--peer-reviewed-fulltext-article-NDT
Rorschach Responses in Schizophrenia and Bipolar Affective Disorder - http://mhrnepal.org/events/rorschach-responses-in-schizophrenia-and-bipolar-affective-disorder
The validity and reliability of projective techniques such as Rorschach are quite debatable.
Yet, here are a couple of studies that might partly answer your questions, or at least provide you with relevant insights:
Rorschach inkblot test and psychopathology among patients suffering from schizophrenia: A correlational study - https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8395539/
Distinctive Rorschach profiles of young adults with schizophrenia and autism spectrum disorder - https://www.dovepress.com/distinctive-rorschach-profiles-of-young-adults-with-schizophrenia-and--peer-reviewed-fulltext-article-NDT
Rorschach Responses in Schizophrenia and Bipolar Affective Disorder - http://mhrnepal.org/events/rorschach-responses-in-schizophrenia-and-bipolar-affective-disorder