Again, you're not clever. That doesn't mean shit. The original formation of the party didn't even include Socialist in its name, when it was added in 1920 Hitler objected to its addition. Hitler did not use the term "socialist" in the same way leftists do. He railed against Marxian socialism and said true socialism supports private property (it does not). Hitler thought Marxism was poisoned by Jewry. Hitler also famously had the leader of the Nazi's left-wing faction murdered over political disagreements. They were purged in the Night of the Long Knives.
Meloni is a fascist. She belonged to multiple neofascist organizations in her youth, she said Mussolini is the best Italian politician of the last 50 years (back in 1996), she opposes any partnership or parenting rights for gays, opposes multiculturalism, has endorsed racist replacement theory rhetoric and has praised a racist fascist who co-founded the Italian Social Movement (MSI). Her links to fascism are undeniable.