Who agrees with me that whether at a 12 step meeting or not, saying, "I am an addict..."?

I think you are missing the point of why they say it. Many are in denial and will not admit or believe they are an addict. When they finally do, by saying that, it is a positive step toward recovery. It is the first step and it is positive compared to being in denial. I really doubt NA is going to change it just for one person.