A "weak/soft" atheist, yes -- but then, a "weak/soft" atheist is largely indistinguishable from an agnostic. A "strong/hard" atheist, no. https://en.wikipedia.org/wiki/Negative_and_positive_atheism
"where a person does not believe in the existence of any deities and does not explicitly assert that there are none." That line In the link sounds a bit strange. If one does not believe there are deities, how are they not "asserting" it?
I personally doubt God exists. But I recognize I can't know for sure, so I don't positively assert "God doesn't exist." Do I believe in God? No. Do I believe there is no God? No. What do I believe? That I don't and can't know. And given that I can't know, I don't care very much. God exists? Fine. God doesn't exist? Fine. My life goes on the same regardless.
True. But that has nothing to do with my belief or lack thereof. Belief isn't a problem per se. Forcibly imposing your beliefs on others is the problem -- whether I believe in a God, or believe there isn't a God.