It also misrepresent quantum immortality: killing oneself will not move you to better world, but only in worse one—as there are many worlds where suicide will end with severe injury but not death. However. the story can be made stronger if the father of protagonist was trying to build universal lottery winning machine via qunatum immortality.
Also, it is interesting to note that early versions of QI have used time dimension instead of spatial, like in Nietzscheт eternal return.
I used such three level bullet points style in https://www.lesswrong.com/posts/iBg6AAG72wqyosxAk/the-badness-of-death-in-different-metaethical-theories