A similar thought I had ages ago is that if God exists, they would either want us to know about them, or not. It doesn't seem reasonable for there to be this weird in-between where it's possible to believe they don't exist if they want to be known... Or for it to be possible to believe they exist if they don't want to be known!

If I were a god that wanted privacy, I'd simply wipe the concept of god from all mortal minds and prevent it from reappearing.

If god did want worship it would be even easier to get it than just making everyone know about them (certainly an option!) - just manifest physically much more often and perform true miracles, none of this silly water into wine (or walkway) business, I mean like Actually moving mountains or something.

I believe the only case that is consistent with some people believing in a god and some not (or different gods) is there just aren't any, or at least they don't care what we think at all, which is similar to not existing and it's unreasonable that we'd 'guess right' about them without their help.