Sure it's possible, IMO. A lot of people do it, stay married to their A's.
I personally, didn't leave an alcoholic. I left someone verbally abusive. Emotionally draining. A manipulator, a victim to the sun rising. A flat out liar. A progressively aggressive attitude. A rude, inconsiderate, disrespectful, know-it-all who.
Do a lot of people stay with their A's? Sure. But I couldn't.