Driven by love, logic, and legacy. She wants to fix the shinobi system, not destroy it. She wants her father to come home, not to avenge him. She wants to lead the village, not rule it.
Perhaps the most significant way Sarada rises "better" is her rejection of the archetypal lone wolf. Sasuke, Itachi, and Obito all operated in secrecy and isolation, believing that bearing the burden alone was noble. Sarada explicitly rejects this. She anchors not just as a member, but as the emotional core. While Boruto provides the flash and Mitsuki provides the mystery, Sarada provides the strategy and the empathy. She is the first Uchiha in canon history to actively ask for help. This allows her to rise without the crushing weight of solitude that drove her ancestors mad. Her strength is communal, not solitary.
The "Rising" aspect becomes evident in how she utilizes this power. Unlike her predecessors who often fell into despair or vengeance upon awakening the Sharingan, Sarada represents a divergence. Her "rising" is characterized by the rejection of the Uchiha Curse. She channels the ocular powers not for domination, but for protection. This subverts the cyclical tragedy of the Uchiha clan, representing a thematic evolution where the character "betters" the legacy she inherited.