One can be disproven, the other cannot. Those who put their trust merely in science fail to acknowledge that everything we claim to "know" will someday be proven wrong, much as it has since the dawn of human existence. Explaining the world through worldly means is, to present it as an entirely conceptual analogy, like pouring water into a glass made of water.
If you "put your trust" in something besides science you are, by definition, just making stuff up, with no observation of, ya know,
the actual world, and then proclaiming that it can't be disproven, which may be true, but shows that you don't know how arguments or theories work. If you make something up, you have the burden of proof, you have to show it's true—not just yell, "la la la it can't be
disproven, suckers!"