I have been in many relationships, some with alcoholics, some with addicts, and some with non-As & As. I have found in ALL of those relationships that it was never so much the details that mattered, but instead it was whether or not I felt I could trust the person. Of course it is the details of their words and behavior that created the trust and distrust, but in the end it always boiled down to "Am I comfortable in my daily life with this person?" and "Do I know in my heart that I can trust him?"
I think you know the answer you are looking for. Maybe focus on learning how to let go.