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.
That's a salient difference if his involvement is providing us with evidence, but not if it isn't.
I suppose it's fair to say that if our universe was created by a clockmaker God who didn't interfere with our world, then it wouldn't matter to us whether or not He existed. But since there's a lot of reason to think that God does interact with us humans (like, transcripts of His conversations with them), then it does matter.
If it's worth saying, but not worth its own post (even in Discussion), then it goes here.