I do not have exactly either of what you are asking about but I do have a 338-06. I believe the A Square is basically the same as the aforementioned 338-06. They just standardized the old wildcat and put their name on it. The 338-06 AI is the Ackley improved version and is different than the A Square or standard version.
I know I like my standard version..
Les

Its not always easy to do the right thing, But it is always the right thing to do.