That's going to increase the base number of those with some flavor of mental instability, but I've never seen anything to suggest the ratio is different than other places.
For NYC specifically: about 60k out of America's 500k homeless people live in New York City, which is the highest homeless population of any US city [2]. The "large majority of street homeless New Yorkers are people living with mental illness or other severe health problems" [3].
These sources confirm what I think a lot of people have seen for themselves through personal travel and experience: mental illness/instability correlates with urbanization.
[1] https://www.ncbi.nlm.nih.gov/pmc/articles/PMC5374256/
[2] https://www.statista.com/chart/6949/the-us-cities-with-the-m...
[3] https://www.coalitionforthehomeless.org/basic-facts-about-ho...
NYC = crazy
I lived there.
It doesn't matter if they have public social media profiles, a bunch of accolades, or not. There is a group of people that carry tasers in their purse for a sense of security, theoretically putting the people that don't carry purses at all at more risk.
You can also have a healthy relationship.
YMMV. Its actually pretty random and potential dates miss many connections if they resort to overfitting to reduce potential strife. The end.