I lack a belief that that any Gods exist. That doesn't mean I have a belief that no Gods exist. I lack the belief in a Christian God that some folks have for example. I lack theism.
Changing the wording does not change the meaning of atheism.
Agnosticism refers to a lack of knowledge about God, which IMO is everyone on the planet. Sure I know folks claim otherwise, I just don't happen to believe them. So a person can say I'm agnostic but I'm likely to throw it right back at them.
This is an incomplete not usable definition of agnosticism, because by itself 'lack of knowledge of God' is simply ignorance of the existence of God. A more concise complete definition is as follows:
From: agnosticism definition - Google Search
Agnosticism - a person who believes that nothing is known or can be known of the existence or nature of God or of anything beyond material phenomena; a person who claims neither faith nor disbelief in God.
There is also many agnostics, maybe most, who essentially could careless and are indifferent as to whether God(s) exist or not.
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