Comment: It does appear unnatural

but what exactly is it telling us? Did God do this so we would marvel at it? Did space aliens find a moon of just the right size to place in Earth orbit as a way of communicating over the eons that we are not alone? Is it supposed to serve as a cosmic come-hither?

Only if future lunar visits find identifiable gadgets left by space aliens, or find the aliens themselves, will the Moon/Earth "squaring of the circle" be more than an oddity.

One could point to the sudden explosion of Homo sapiens onto the scene, as well as the sudden emergence of an advanced civilization in Mesopotamia, as unnatural events and evidence of off-world influences. Yet until we unearth an ancient spaceship or ray gun there will be only trifling speculation. (This assumes that various governments have not secretly attained such proof and beyond.)