They had to make the most of what little Carrie Fischer footage they had, and making some sort of point to surround Leia handing her the saber was a way to do that. And having Leia’s own saber represent her reinforces that idea.
Although I wish it were a different color as to not be indistinguishable from Luke’s.
They did. Leia’s is blue and Luke’s was green. This is their father’s saber, which happened to be blue as well. Those sabers really don’t represent brother and sister, but father and daughter. Luke’s saber has only been seen in flashbacks.
I don’t think so. When Rey is on Tatooine burying the sabers, she sees Luke and Leia, not Anakin and Leia. I assume taking both siblings swords was moment which concerned the OT characters.
Luke used that saber, as Rey did, but it really belonged to Anakin. TROS followed ROTJ’s example for who the last Jedi sees. Luke saw the figures important to him and Rey saw the ones important to her. The sabers have no relation to the people seen. Rey interred them in the only place associated with the Skywalker family.