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You're still trying to force your own definition of the word. What you're describing is acually agnosticism, not atheism.
There is no overlap, atheism is a firm belief (note belief) that there is no god. Regardless of the evidence or lack thereof. Theism is the belief that there is a god, again regardless of anything else.
Agnosticism is following the evidence... if today the (lack of) evidence lends itself to the case that there probably isnt a god, then you can say "the current evidence leads me to the conclusion there isnt a god".
There is no such thing as an atheist who follows the evidence, their conviction comes from belief there is no god, or disbelief in a god.
This is not a matter of my opinion, it is how the word is defined, not by me, but the english language, so there is no point in arguing it any further.
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