I wish atheists would come clean and just admit it's more the nature of the claim rather than it being a claim.
I'm not sure I get the distinction - or, rather, given the supernatural elements inherent in the claim of 'god', how do you differentiate the specific claim from the nature of the claim? I'd suggest that, given atheists don't just dismiss Christian theology, but also Hindu and Islamic and all the others on broadly the same basis, there isn't really a differentiation on the part of atheists.
In extreme examples i've seen atheists dismiss christian claims that are 18 centuries old and accept without question Jesus as myth claims from a couple of centuries later.
And there are Christians who accept that Genesis is a literal account of the creation - there are people who haven't done their research (or who've ignored it) on both sides.
On another point I think you may view the term theology here as mythology.
It's a fine line to tread between them. The mythology is the stories; theology is presuming the stories are factual and then trying to come up with explanations and consequences.
That would be a mistake since you can have a theology about any historical person and event.
And you can have a mythology about historic people or events, too - The Trojan War was likely a real event, but Homer's Odyssey and Iliad are mythology based on them; the legends of King Arthur and Robin Hood are possibly based upon (probably multiple) real people, but the mythology has overtaken any strong history. Jesus was likely a real person, but whether you think turning water into wine, casting demons into pigs and rising from the dead are myth or history is kind of the distinction that's at the heart of these discussions.
I suppose there are two approaches to not having eyewitnesses write the gospels.
I suppose there are far more than just two.
one way would be to say the gospels could be based on eyewitness and the other but extreme view is to conclude there were no eyewitnesses it never happened it's all made up or some other argument from incredulity
Or you could presume that there were eye-witnesses, but the stories were mutated over multiple retellings; or you could presume that there were eye-witnesses, but only the fact that there were stories, not the stories themselves, were passed on and some enterprising individual made up what seemed a good tale for them; or there were eye-witnesses and they told their stories, and someone thought they were too boring and embellished them; or...
O.