Very low employment rates are not intrinsic to schizophrenia, but appear to reflect an interplay between the social and economic pressures that patients face, the labour market and psychological and social barriers to working.[0]
Barriers like you believing you can generalize all schizophrenics to be poor/unemployed and unable to earn.
[0] https://link.springer.com/article/10.1007/S00127-004-0762-4