BIG SPOILER ALERT
Just finished and hugely enjoyed this. And then immediately came to this thread to see what other people who've read it thought it meant at the end
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It's quite ambiguous isn't it?
Dunlurking, the two shooting scenes are slightly different. She has different cake and in one, Hitler is with a blonde woman. And, as you say, they are dated differently.
I took it to mean that she tried to stop the war by shooting Hitler in two (or more) lives, but it didn't work, as you say, because she was then shot.
I took Teddy's survival to be a random quirk in one of the lives. Almost everything was the same, but he just managed to eject in time. Like the psychiatrist's son being killed and then not existing at all in a later life. So the book was maybe saying that every life has kinks and turns that sometimes lead to nothing, sometimes to unexpectedly profound consequences.
But the very sad bit, in the very last chapter, how I interpreted it anyway, was that it still all goes back to the beginning, and she has to live another life. And another . . . .
Is this all nonsense?! I did read it very slowly, and wrapped around another book. I'd like to read it again all in one go, quickly. Am I way off anyone else's mark?