In the Nordic countries we have hordes of ancestry with no permanent family name, but with a patronymic. -which is really helpful, when you are searching for the next generation up in the tree. A Johan Johansson's father is with great probability called Johan. ;D
In Finland, family names became compulsory in 1920, but already in the latter part of 19th century taking a family name became popular. However, you could take a name to your pleasing, and e.g. my g-gf and his two brothers chose different family names.
In my opinion, wikitree should offer the possibility to show a person's patronymic separately from usual "middle names", as the patronymic offers this hint to the parent. And yes, there are matronymic names, too, if the mom was not married.
People with patronymic names could use the name of the house or the estate they lived in as a last name, but using that as a family name can be misleading, because when the person moved to another household, he or she often changed that name right away.