So, I read the naming conventions. I saw they don't take on their family name because they are their own start to a new family.

It says that in place of a family name, they are given one based on their position in the tribe- which can either be Nuhn or Tia.

As a roleplayer, my character wasn't really part of any real tribe for a few different reasons. Is that breaking lore, then? Or rather, my character being a sunseeker male and not part of a tribe- do you think it's normal he'd just adopt his mother's family name?