In my experience, people who are recovering from addiction to drugs don't really bring it up, unless it's in a situation that's appropriate. But recovering alcoholics will find a way to spin it into any conversation.
Guy: "Have you seen the latest episode of Breaking Bad?"
Alkie: "No, I've fallen behind on that show since I've quit drinking."
- - -
Guy: "Hey, how much does this t-shirt cost?"
Alkie: "That shirt is $8.98. Which, funnily enough, is exactly how much my brand of beer used to cost. But I've quit drinking, so maybe the price has changed."
They bring it up a lot, is my point.