Only what you describe as a "strong" atheist. That's a true atheist. One who believes absolutely there is no god. I meet very few people like that.
I think that I concur with you. We just differ in terminology.
I think you can divide the agnostic into hard and soft. The "soft" one thinks there is no God (or at least no current evidence), but is open to the possibility. The "hard" one thinks there is no God and no way to prove it and no way to find out. Both leave the door open at least a little.
To a true atheist there is no difference between God, Santa Claus, the Easter Bunny, the Great Pumpkin, or any other fantasy or "fiction." So, when an "atheist" IS concerned about God, for example an actively anti-Christian person (Michael Newdow comes to mind), then you know something else is going on. They are probably not atheists. They may very well be anti-theists.
An anti-theist and an atheist are not the same. The anti-theist is, as the name implies, against god. It isn’t enough for the anti-theist to leave people alone with their belief or their “fiction.” The anti-theist seeks to fight and stop the “theists.” This fight is aimed at Christ and Christians the vast majority of the time.
Peace,
jw