"Sunny 16" vs. "roughly sunny 16" difference is roughly the percentile difference between Sun-to-Earth distance vs. Sun-to-Moon-to-Earth distance that the light has traveled.
No, the wiggle room I was leaving there is for the difference of your metering methods vs mine and atmospheric issues, not inverse square.
The distance a single "ray" of light travels isn't relevant, distance doesn't diminish it's luminance.
Inverse square measures the luminance of a given area, say the size of the meters sensor. As you move the meter away from the light source fewer rays hit the sensor. The source "looks" smaller to the meter as the distance increases.
That doesn't mean the subject matter/source actually looks dimmer, just smaller.
All the rays that reach the film have to come straight from the subject to your camera. Subjects like the bright side of moon normally appear small in a composition but their luminance is still as if in full sun.