That's just our bias talking. There's certainly many other wonderful events we missed by a couple million years. We just think the moon size is special because of this coincidence.

Earth's orbital distance has pretty much always been "perfect" though. It hasn't really changed much since it's formation 4-5 billion years ago.

Unless you mistyped and you're talking about the moon's orbital distance? In which case, it's actually kind of the opposite of what you're claiming. It's estimated that life first popped up pretty close to when the planet and moon finished forming, at which point the moon's orbital distance would have made it appear larger than the sun and probably fully obscure the sun + it's corona during an eclipse.

A still more glorious dawn awaits
Not a sunrise, but a galaxy rise
A morning filled with 400 billion suns