The answer will depend on the data that genetic model was developed from. I would suspect that most research on genetic factors of IQ has been performed in healthy, normal adults, so the model will predict IQ from DNA as if the subject were a healthy, normal adult (whether they are or not). It's unlikely that the DNA-IQ model was developed using a large cohort of mentally ill people, so the model may produce inaccurate results when applied to those people. I would expect the test to produce a score closer to 130 (if it is indeed an accurate model, which I will not discuss here).
Even if there are genetic predictors of the mental illness, it's likely not a 1:1 correspondence between DNA features and the illness, so this effect would be diluted when correlating against a third variable like IQ.