Can I view the moon’s angle of illumination (not the phases) as a representation of what angle the Earth is also illuminated?

Right now we’re in waxing gibbous phase, so this means it should be easier to understand my question. We’re both spheres. I just googled and we’re not technically on the same plane.

Does this mean the Moon is lit up from the Sun at a similar angle as the Earth? (Google says the Moon is off our plane by five degrees, so this fact must be reflected visually as well.)

Last night, I noticed as the Moon sets over the horizon, the sunlight hitting it had changed from a nearly vertical terminator to an almost horizontal one. I hadn’t given it much thought until then but it hit me like a ton of bricks.

If I look at the Moon, I can imagine it representing the Earth like a globe, and there’s me on an equivalent latitude, on the backside of the Moon, in the dark, and there’s the other side of the Earth (represented by the Moon) all lit up.

It’s almost like looking at a mirror of a mirror. I can see “around” the Earth and see what’s illuminated.

So, my question is, am I understanding this concept correctly? And taking it a bit further, If it’s morning in France, say, I can look at the Moon and visualize where France might be in the sunlight on the Moon?