In The Muppet Christmas Carol the ghost of Christmas future shows Scrooge all these bad things that'll happen if he doesn't change his ways. One of the things Scrooge is shown is the Cratchit family mourning the death of Tiny Tim, someone who we saw was sick and crippled before that.
Seeing this possible future helps Scrooge have a change of heart and he uses his wealth to show charity and kindness to people, including the Cratchit family. Then Gonzo/Charles Dickens says
and Tiny Tim, who did not die...
How does Scrooge's charity change whether someone dies, especially someone who was already sick?
The same question applies to the non-Muppet version(s).