Indeed.
Now, if you go over to the Religion forum you'll find many people who don't believe in the YEC interpretaion of Genesis, but adamantly profess a belief it God. A lot of them believe that evolution did happen. You don't seem willing to count them as atheists, and attack them for it, and don't really seem to consider them athiests at all. You certainly don't seem to require having someone explicitly declare their rejection of God to apply that label. Whatever meaning you're assigning to the word "atheist" doesn't seem to be based in theology. It is applied and used as a general perjorative.
Try "Ommmmmmmmmmmmmmmmmm". It works for some people...
You appear to making up your own definitions again, so I thought I would help you along your road...
From: Atheism: an introduction to Atheism.
“What is atheism?”
Atheism is characterized by an absence of belief in the existence of gods. This absence of belief generally comes about either through deliberate choice, or from an inherent inability to believe religious teachings which seem literally incredible. It is not a lack of belief born out of simple ignorance of religious teachings.
Some atheists go beyond a mere absence of belief in gods: they actively believe that particular gods, or all gods, do not exist. Just lacking belief in Gods is often referred to as the “weak atheist” position; whereas believing that gods do not (or cannot) exist is known as “strong atheism.”
Regarding people who have never been exposed to the concept of ‘god’: Whether they are ‘atheists’ or not is a matter of debate. Since you’re unlikely to meet anyone who has never encountered religion, it’s not a very important debate...
It is important, however, to note the difference between the strong and weak atheist positions. “Weak atheism” is simple skepticism; disbelief in the existence of God. “Strong atheism” is an explicitly held belief that God does not exist. Please do not fall into the trap of assuming that all atheists are “strong atheists.” There is a qualitative difference in the “strong” and “weak” positions; it’s not just a matter of degree.
Some atheists believe in the nonexistence of all Gods; others limit their atheism to specific Gods, such as the Christian God, rather than making flat-out denials.
-http://www.infidels.org/library/modern/mathew/intro.html