It depends on the addiction. I mean, I'm going to consider an addiction to Oxycontin much more seriously than an addiction to Real Housewives of New Jersey. And then I'll choose the oxy girl.
Okay that last part wasn't serious.
But my point is, I think we all exhibit some measure of addictive behavior, and within reason it might not be all that bad (e.g. if she were addicted to kale shakes, crossword puzzles, or Pixies B-sides... who am I to judge?!). However, if we're strictly talking about an addiction to drugs, alcohol, sex, pornography, or maybe gambling, then there's a strong possibility that I wouldn't be comfortable committing to that person. If the person has been in recovery for a significant of amount of time, then that's a different story, they're proactive in making good choices which I would fully embrace.