There is no single crime called "domestic violence" in New York. Domestic violence is a category of crimes, known as "family offenses", allegedly committed between “members of the same family or household”.
The purpose of the no-DAT policy is to get you "arraigned" by a judge right away, so the judge can issue a temporary order of protection ("TOP") before you're released from custody.
The judge couldn’t couldn’t have been clearer about the "no-contact" order of protection:
“Stay away from Jane Doe wherever she may be. Stay away from her home, her school, her place of business. Don’t communicate with Ms. Doe. Don’t contact her by telephone, text, email, carrier pigeon, smoke signal, ESP, through third parties, or by any other means.”
If you’re accused in a case involving “cross-complaints”, there’s a good chance your case could get dismissed.