I'm guessing the answer is...it doesn't matter what you call it. I need to take care of me.
I think you understand things! It really doesn't matter what you call your wife's actions, the actions you need to take are pretty clear.
I wish you and your family the best of luck. It will likely be hard, but you can get through things.
I would change your summary to:
You need to take care of your children, then take care of yourself (as your children need a healthy father who has the financial resources and love to take care of them as they deal with the stress of their mother's self-destructive & addictive behavior), then if you have anything left over you can help your wife (who may soon be your ex-wife, but will always be the mother of your children).
Again, God bless you and your family and good luck.
>43 years of marriage--My wife and I are now closer than we have been in decades. I believe that my SSM is over.