We also think Skywalker is referring to Ben, now that we've seen the movie. Just like his grandfather before him, Ben Solo turned his back on his original identity, family, and name to become the evil Kylo Ren. Many suspected that The Rise of Skywalker would show his redemption, and they were right. During a battle with Rey, he hears his dying mother's voice reaching out to him through the Force, and that, combined with the apparition of his father Han, turns him back to the Light. In that sense, the Skywalker (and Solo) in him "rises" up.
Ben also rises, quite literally, in his final scene. He's thrown into a pit by the newly empowered Palpatine, but he manages to climb back up and does one last heroic thing: sacrificing his own life to revive Rey. Being willing to die to save someone's life is definitely a Skywalker trait: Luke nearly died bringing his father Anakin back to the Light, and Leia did die in bringing Ben back.
