There are several issues in real life if you live in a society where it is the norm.

The very least when you have kids and their teachers or any official you encounter assume that the parents have the same name as the kids. (This can't be your kid!)

We know a couple where she had hyphenated surnames. Almost always confused the officials, colleagues and friends when they lived in Switzerland.

We decided against my wife not changing her name, since it was not worth the troubles.