In the 90s, when I grew up, the moon was not bright. In fact, I remember it being dim and grey looking. I remember having a hard time discerning what people called 'the man on the moon' (spellcraft for nasa moon landing hoax programming). These days, the moon is so bright it throws off tons of glare and lights up the night sky, and will shine through clouds! School will not teach you the truth, that the moon gives her own light, and the moon's light is cold. Very mysterious.
I don't like appealing to the 90s all the time, but it is when I grew up. Something I distinctly remember from my childhood is that the moon did not use to shine during the day all the time. Now, if the moon is above the horizon, you will see it if it is not obscured by clouds / chemtrails. This is true for even the smallest cresent phases of the moon. This is not how the moon used to be. I believe this particular aspect of the moon, being visible in the daytime as well, is fulfilling "the light of the moon shall be as the light of the sun".
Something that a lot of people don't realise is that there is a difference between daylight and sunlight. The sun is not what creates daylight. If you carefully read Genesis 1, you will see that God created light before He created the sun. Plants even existed before the sun! The sun is a spotlight. When creating 'outdoor' style lighting conditions in a studio, they do not use just one light source, but a soft background light and a stronger light to highlight. This is recreating how outdoor light works, there is the soft all encompasing light we get from the firmament, and then the hot direct spotlight of the sun.
Why I bring this up is because people will assume "oh, well it's not like at nighttime the moon is making the sky bright!". That's not how daytime works. The moon does shine as bright as the sun used to shine. It's just that you cannot expect the moon to light up the whole sky as if it's daytime, because that's not even how the daytime/sun works.