Yes, it does act like a convex mirror (a rough-surfaced one). It forms the image we get. The Moon does not radiate significantly at any wavelengths of its own.
You are aware, are you not, than we can -- and do -- observe it from Lunar orbit and that it exhibits daylight/nighttime on its far side, just as you'd expect from a body reflecting sunlight.
... but Moon-light is a unique product of the Moon that transmits its own unique characteristics.
So, how would you explain it differently?