This is a sniffer, but Rey takes on the Skywalker name after disavowing her connection to Palpatine in The Rise of Skywalker. Ben Solo/Kylo Ren sacrifices himself, and Princess Leia dies as well. As a result, outside of Rey, who isn’t even technically a Skywalker, the Skywalker name lives on with her owing to the rest of the family’s death.
This resolves the Skywalker saga as a whole, as the name will continue on in memory. And again, while this rolls off my back, I believe that real fans will return to appreciate the saga as a WHOLE. Because whether you like it or not, the sequels ARE canon. And I believe that fans will accept this and keep it for posterity in time.