It has been postulated that obsessive compulsive disorder(OCD) lies in a continuum between schizophrenia and the neurotic disorders. Patients of pure OCD develop psychotic symptoms when there is a transient loss of insight or there is emergence of paranoid ideas.
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I don't think that causality can be implied, but I found a study that delivered some interesting insights.
"The role of metacognition and obsessive-compulsive symptoms in psychosis: an analogue study" - https://pubmed.ncbi.nlm.nih.gov/28662637/ indicated that "Symptoms of OCD showed a strong positive correlation with symptoms of psychosis, and the relationships were still significant after controlling for symptoms of anxiety and depression. Metacognitions also showed strong positive correlations with all symptom measures. Metacognition and OCD-symptoms accounted for 53.8% of the variance in paranoid ideation and 43.8% of predisposition to hallucinations. There was a large overlap between symptoms of psychosis, OCD-symptoms, and metacognitions (30.2-37.3%)."
The study results suggest "considerable overlap between paranoid ideation, predisposition to hallucinations, and OCD and metacognitive beliefs in a non-clinical sample."
Hope this helps.
Even though some symptoms in people suffering with OCD may appear to be potentially paranoid, the condition generally doesn't lead to paranoia. A person might feel paranoid due to OCD, but they're not psychotic.