Asking the question "does god exist" can mean a whole range of different things depending on what's meant by "god", and depending on what's meant by the far more complicated concept "exists".
I've had frustrating chats w/ folks who presume that "exists" is a really simple binary state but uhh there's whole branches of philosophy trying to figure out what the hell "exists" means.
The question "does god exist" occurs within a philosophical framework the querant might not even fully understand.