No, it's not necessarily true. Despite their behaviour they are actually not aliens just human like the rest of us haha. Alcoholics do seem to have some patterns, this is not necessarily one of them.
Some people might and some might not. As far as he knows you two are still friends right? So he will no doubt probably contact you at some point or do you mean contact you to get back together?
My suggestion would be to take matters in to your own hands, why would you leave anything up to him? Perhaps a quick note to let him know you think it's better if you don't talk anymore and leave it at that?