I don't know that the stipulation in a visitation order re supervision telegraphs anything regarding his current drinking/not drinking. He has a recent HISTORY of drinking and being violent--that's reason enough to require supervised visitation. His current drinking would only become an issue if he PUTS it at issue--as, for example, claiming that he isn't drinking right now, so no supervision is necessary. At that point, he has "opened the door," so to speak, and you don't have to leave that statement unchallenged. Presumably, his lawyer would tell him that.
My own suggestion is that you contact his lawyer and make this proposal. You could express your hope that he would agree to supervised visitation so you don't have to make his failure to abide by the bail condition an issue with respect to visitation. I think his lawyer will get the message.