I don't think that the Hoth argument applies here, because what we're looking for is not just some teapot in some random corner of the univers—it's a God actively involved in our universe. In other words, in God does exist, He's a very big part of our existence, unlike your teapot or Hoth.
That's a salient difference if his involvement is providing us with evidence, but not if it isn't.
Suppose we posit that gravitational attraction is caused by invisible gravity elves, which pull masses towards each other. They'd be inextricably tied up in every part of our existence. But absent any evidence favoring the hypothesis, why should we suspect they're causing the phenomenon we observe as gravity? In order for it to make sense for us to suspect gravity elves, we need evidence to favor gravity elves over everything else that could be causing gravity.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.