The problem is that using a bounded utility function to prevent this sort of thing will lead to setting arbitrary bounds to how small you want the probability of continuing to live to go, or arbitrary bounds on how long you want to live, just like the arbitrary bounds that people tried to set up in the Dust Specks and Torture case.

On the other hand, an unbounded utility function, as I have said many times previously, leads to accepting a 1/(3^^^3) probability of some good result, as long as it is good enough, and so it results in accepting the Mugging and the Wager and so on.