They probably do get nervous. One of my favorite eclipse stories to read about is in Guna tradition in indigenous central America, where albinos, who are all said to descend from a single Zoroaster-like sage, are said to be imbued with magic powers from birth because they're seen as being born of the moon. And when a solar eclipse happens, it's up to them to decide if the Earth is worth saving from the dragon that's eating the sun. The tradition lives on enough that almost half the population is albino as their popularity there was self-boosted in ancient times.

I wonder if this is the inspiration of the moon arc from Avatar.