It reminds me of this show called "Lost" where one viewer sees a rational explanation and another viewer sees supernatural event.
It depends on where you sit.
Right. And the difference is, the second guy sits in a place where he says "I'm going to jump to a conclusion about what I saw, and never change my mind" and the first guy says "I'm going to find out what actually happened."
Allah can move anything from anywhere, if Allah pleases.
If it pleases Allah to order the universe in a way that makes it look like he never intervenes directly, shouldn't we please Allah by investigating the universe according to that assumption?