I think your take on things is broadly correct. If an airline you're applying to is not asking for the type you have, don't mention it in your application or CV. However, at interview, be quite open about the rating and explain why you did it. If they like you, they are unlikely to turn you down for the rating. If they don't, you haven't lost anything. Above all, don't try to lie or deceive.
As I think you rightly suspect, getting to interview is the important bit. Once you're there, your personality and attitude will gain or lose you the job, not your rating.
Scroggs