I think there is a big difference between a recovering alcoholic with a solid program and lots of years of recovery and an active drinker who refuses to help themselves. I would probably still be with my addict/alcoholic if he was trying, working a program, doing what he could to save himself. But he isn't and probably won't ever be and so I can't be around him, I can only love him from far away and wish him well. I think a relapse is just that - a relapse. It is completely different from not even trying.
Yes, I would consider getting involved with a recovering alcoholic with a solid program and some years of sobriety. A solid program gives people the tools that are needed to make a relationship work. Running a household based on the traditions seems like a great idea to me.