I'd mention a couple things: one, the BB describes a type of "heavy drinker" who is NOT an alcoholic. To paraphrase, this is a person who possibly quits because of illness, circumstances, etc and NOT because they must accept their alcoholism.
Also, AA is a program of attraction not promotion. So, if our suggested way doesn't work for you, it is suggested that you try other things and see what happens; AA followers generally expect to see you back in the rooms. Also, the BB talks about trying to work with someone, and if they are not ready - to leave it be and let the door be open for them to approach you later.
Also....you may or may not know- or admit- that you are an alcoholic when you first come to the rooms. Not seeing the reality of your situation as one like any other alcoholic's - you can't take that "controlled approach" is so common that there are expressions like "he went out for more research."
Just my $0.02.