(Sigh) The judge is correct. She's also a former insurance coverage and insurance defense attorney.
http://www.smartvoter.org/2006/11/07/ny/state/vote/marber_r/bio.html
(1) Most homeowner's insurance policies also provide coverage for claims against the named insured resulting from non-intentional acts; (2) the duty to defend an insured is broader than the duty to indemnify; (3) the insured is being sued for failing to anticipate the act of a third-party so it is, by definition, a non-intentional act by the insured.
Oh, and the suit against the insured is complete bullshit and likely will be be dismissed on summary judgment. New York law is clear that non medical professionals are not liable for failing to anticipate violence by the mentally ill. The only person who is liable for the death is the perpetrator, but since he's likely indigent, he's not worth suing.