No, to me, that's just her bargaining with her "seedy past" so she doesn't have to have light shined on the addiction, which we all know thrives best in the dark and unknown to others.
I know you're just at the beginning of your journey and that you're probably willing to accept this "offer" to go to counselling, but I hope we can all save you some heartache by warning you right off the bat. Ask yourself WHY she won't discuss her drinking. If there wasn't a problem, she wouldn't have an issue with discussing it.