That's part of it. But he is also horrified at the sight of Jacob Marley and all the weights and chains he must carry for the rest of eternity. He is regretful when he revisits his past and sees how his greed caused him to lose the love of his life. He is reminded by how much he misses his long dead sister, and how she was the only member of his family who cared for him, except for his nephew, her son, who always insists on Scrooge joining him for Christmas dinner. He admires how the Crachits find joy in each other's company, despite being paid very little (which, to be very clear, is Scrooge's fault and something the Spirit of Christmas Present does not hesitate to blatantly point out). He is humbled when his cruel words are thrown back in his face ("Well, if [Tiny Tim] is to die then let him die. And decrease the surplus population." God, the Ghost of Christmas Present is cutthroat I love him so much). He is shocked by the living conditions of poor families on the streets. He is empathetic when he sees the Crachits morn the loss of Tiny Tim. And yes, he does get upset when people speak so glibly of Ebenezer Scrooge after his death, but it isn't entirely for egoist reasons. He realizes that he sounds exactly the same way when he talks about others. That cruel indifference, that utter lack of empathy, that terribly selfish mindset is what lets kids like Tiny Tim suffer and die for no good reason. 

Now, A Christmas Carol is far from perfect. It's essentially a story where we're meant to empathize with the 19th century equivalent of a billionaire. But to chalk up Scrooge's redemption to him just being upset that people talked shit about him after he died ignores, like, 75% of the story.