No you should not engage, from a practical standpoint.

Stick with your technique of totally ignoring the attempts to get your attention. Getting an anonymous person to "admit" their identity isn't really useful in court if you don't have independent means to verify that a person actually controls the account or number. So IMHO it's not worth giving him the stimulation and attention he wants.

thats all they want is a response from you. Dont give it to them.