I’m not familiar with that show, but I see what you mean. Usually; when someone says ‘you’re a child’ I find it means they aren’t thinking of a bigger picture, or sometimes that they are being selfish. The panicking the other character does is kind of strange. On the other hand, there are lots of bits of media with the idea that children are wonderful, and whimsical, and have a joy that many have lost as they age.
All this said, media or not, people in the US are probably quite similar to the people you know. Just people who want to live their lives, and for many they dream of having a family, and kids. I don’t think I know anyone who hates children, but I do know many people who have kids, and they are loved.