The incoherency of agnostic (a)theism Unless you are a 'naive realist', existence of anything, from electrons, through rocks, to gods, stands or falls on the utility of that concept for human needs.
And concepts are all we've got !
Human needs differ . I am not a naive realist and I don't need a 'god' concept, so I call myself an 'atheist'.
It has nothing to do with 'belief' and everything to do with the absence of belief and the recognition of the futility of 'existential claims' based on non-consensual 'evidence'.
For those who do have an emotional, psychological or social need for a 'god' concept, then that 'god' does indeed 'exist' for them.
Agnostics are merely those who haven't decided what their needs are !