The studies aren't conclusive but some seem to suggest those with mental health diagnoses tend to be treated differently by police officers.
For example, Watson, Corrigan Ottti report that
Teplin, Pruett and Teplin found that officers are more likely to arrest subjects with a mental illness
in the introduction of their paper.
There are lots of mental health diagnoses which are very common and should not be relevant to most situations like people with depression and OCD.
If asked about mental health issues, is it okay to deny having them, or to not answer the question?