Ignoring the obvious out-of-universe reason for fan appeasement, is there an in-universe reason as to why she
took the famous Skywalker name without her actually being one?
She's not related by blood and
I wouldn't call Luke or Leia her adoptive parent since they were only very briefly her Masters.
Also it's pretty insulting to her natural parents who sacrificed their lives in protecting her.
Sure, maybe you don't want to publicly state your family name being that of
the almighty Sith lord
but why not just stick with the first name which she had been doing prior to the ending of the film?